{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.colors import LinearSegmentedColormap\n",
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "from src.modeling.run_model_single import (\n",
    "    load_model, load_inputs, process_augment_inputs, batch_to_tensor\n",
    ")\n",
    "import src.utilities.pickling as pickling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "shared_parameters = {\n",
    "    \"device_type\": \"gpu\",\n",
    "    \"gpu_number\": 0,\n",
    "    \"max_crop_noise\": (100, 100),\n",
    "    \"max_crop_size_noise\": 100,\n",
    "    \"batch_size\": 1,\n",
    "    \"seed\": 0,\n",
    "    \"augmentation\": True,\n",
    "    \"use_hdf5\": True,\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# A. Image-Only Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We create a dictionary containing the configuration parameters for our image-only model, and load the corresponding weights."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "random_number_generator = np.random.RandomState(shared_parameters[\"seed\"])\n",
    "\n",
    "image_only_parameters = shared_parameters.copy()\n",
    "image_only_parameters[\"view\"] = \"L-CC\"\n",
    "image_only_parameters[\"use_heatmaps\"] = False\n",
    "image_only_parameters[\"model_path\"] = \"models/ImageOnly__ModeImage_weights.p\"\n",
    "model, device = load_model(image_only_parameters)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We load the data for a single input instance (one `L-CC` mammogram image).\n",
    "\n",
    "The preprocessing (e.g. cropping) must have been completed beforehand."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_input = load_inputs(\n",
    "    image_path=\"sample_single_output/cropped.png\",\n",
    "    metadata_path=\"sample_single_output/cropped_metadata.pkl\",\n",
    "    use_heatmaps=False,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We perform data augmentation if necessary, collate it into a batch of size 1, and convert it to a PyTorch tensor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "batch = [\n",
    "    process_augment_inputs(\n",
    "        model_input=model_input,\n",
    "        random_number_generator=random_number_generator,\n",
    "        parameters=image_only_parameters,\n",
    "    ),\n",
    "]\n",
    "tensor_batch = batch_to_tensor(batch, device)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can plot what the input to our model looks like."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7fdce5f56358>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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cj8f8dvD3D4gBvea61MbDxiBuj8fjxqJmcweDQSuidjoddbtdQ8PIMebzuSXj0WjUPnRg\nXAqcbLhut2tGxd/ZcMViUePx2Lwhm5AQrd/vr9RlZrPZChWHQi35BqAHaBkbfzAYqN/vK51Oq9ls\nWi6Uy+UUDod1cnJinicQCFibBt6C0I5CMGijlyPnzXlA+aTH9B4vGfUilM36QTagS208fLDD4dCM\nwhsuTadTQ75SqZSm06nxwyKRiMrlsu7fv28fOB4CNGk8Hmtra8u8EaEVbQez2cwIpX6/X61Wy+gz\nbMZsNqt+v6/RaGQFVAyavIk8KpVKqdVqKRKJKBKJmOcB2dra2tLGxoblMtVqVUdHR5brURT1cvao\nbZHX4Zl4P/AemUxGjUbDjATDJ+TDC2MsoJEX+4m8xFS80A9qj9ClNh68BwgWOc76+ro6nY4ymYyF\nHP1+3zZ5uVxWLBZTr9ezUArECpZBPp/X2dnZSg7R6/U0nU5VLpc1m81Uq9UkyWg6eDfYz5FIxIya\nmkqxWLTrTSaT2tnZ0eHhoYENgUBAzWZzBdkCgatWqwbNv/rqq8a6JvmH1IpxO45j6Nva2poqlYpi\nsZjC4bA9TrVaNS+ERwQNJNcDLIGk6uXMYdgXvZC3PeIHFY271IBBsVh0n3vuOQvfqLlA4CQZByUb\nDocWBlG1Z5ODMlFcbbVamkwmkpYMZ8dxlM1m5bquxuOxXNdVNBpd8UjkSV6OXafTWQlrBoOBGSco\nVyKRWGFLz2YzdbtduyZoO+FwWJFIxGpCQNGwBeDpees9wOSSDDQYj8eKxWKSlocGngGvRLgGoAFQ\nwP3Icy62vBPyfSfggPu8C9Y7HzAgwaVdYDKZ6OjoSJubm3b67e/vG7MawwHahoTJib62tqb5fG4J\neSqVss0OuJBIJDQYDMxg2IzUVkKhkDY2NrRYLNRoNJTP59Vuty1/IiHvdDrWSJdKpdRoNAxl83oH\nvB5FVzwgYADFUA4CqD94E3IkwIlEIqF6vW5eKhgMqlwuq9FoWKs5DA0vowHIn0ZBamt4HgyOz+Ui\ntccb6l3mA/nNXJfaeEB/FouFstmsIVdw0EDUGo2GqtWq0um05R6TycQMw2uAeIBgMKhms2nwbrvd\nVjwet1CM5wWMIDyaz+c6Ozuz9oBqtWoMBqBxcg9p6Q1arZZRawjFKMyygXd3d61Ddj6fGxs7FosZ\nTI3BQx1yXVexWMw0FzBab4PdbDYz71gsFjWZTAxq73Q6RmgFHeR5KM5CTeL9IN/0MhAu9g95oe93\n87rUxgMlhZM3FAqp3+8rk8loOBzapkgkEvaheZGs2WymXq+njY0NzWYz9ft9Q56oF2EonOCEeyBd\nXiEQ6iagbbRWU/8B7oUkulgslEqlrPbEQqxkOp1aeJVMJiVJjUZDw+HQQAVCSH5uNBq6efOmddZK\nMsqQJMuhMIBMJmOwOGgdh0sikTBPzIECXA6wEgqFVmBqrwF5e4YuGsvFjtV347rUcruuuxT+iMVi\nRpuRlp2ebBI8ApuMkI14PhQK6dGjR1brodIPNExoREMduQeAw2KxUKvVsroKXiCRSCgYDCoWiymV\nShmfjJxFktVpAB5IutFZgBlQLBbV6/VUqVQ0n8+VSqUMREin00aviUQiyuVyhvohQkJICRJIYx0b\nNxwOK5/Pa7FY6PDw0Lw2h0YoFFImk9HGxoYymYzlYBfZG14S7UXREe/PF7tY362CI5faeEi8CceI\n4V3XVbvdluu66nQ6VsiMRqNWkPRuKJRz0um0fD6fMZXpowHJY7NgeCBza2trK0VIyKmSVn4mHJpO\np8YyYFNBwaFhLx6PK51Oa3NzOdlwb2/PUL1MJmN8PBgJ0+nU6D/kKYlEwu4bjUYViURUKpWUyWRW\n2ixoxOOxvaxvGOG5XE4PHjyw8CyVSikcDlsxmtCX5+e14Y3JhzAWQjrv7e+2danDNmj/8Xhc+Xxe\nvV7Pbpdk4VKhUNBgMFC321WxWLTcxFvDWCwWluM0Gg3LUZLJpNVeWq2WhWneOke329W1a9fUbDYl\nLY2rXC6r1WpZzO+t+bCpyBfQl8vn82ZsdLTipQqFgqF4kFuz2axu3rypw8ND9Xo9NZtNqwt1u12T\n3sLzcW2xWEzlctng7bW1NSsY07JB7tXtdlUqlRQIBPTss8/a9Q+HQ8ubpMddq4SfXuPx0oG8YII3\nrCPcezeFcZfaeCSZh/E2jiWTSevClGRIErQZkvler6fRaKT19XVVKhWrG6HLRgtDJpOx4qjrulZg\nBCpeW1vT/v6+5TgQOGFXY6TpdNrCq2AwaNcLkpZKpdTr9QwEyOfzK7QYPOs3v/lNJRIJdbtdPXjw\nwDpCu92uOp2OoYHUhgqFghzHUaPRsDoNnhVQYDAY6Pr160okEva6ut2u1bZisZhOT08Vj8eVzWa1\nu7urZrOpWq32LXoMdMF6W845BCRZDcnL0PZ2sr5b1qWu8+Tzefczn/mMAoHASiWeTd9utxUKhRSL\nxewkJ74/Pj5e6WXhQ3ecpZ5aJpMx9I1QTJJ5qXw+b2wBjJC8xtvwNhqNVrhsIFGSTKHUm5eMRiPz\njtPpVLVaTblczhr9KLp61URJ2tn0oVBInU5HqVTKqDX5fN6MmtpONBpdaVPgcOA13rx5U6enp6rX\n64pGo4rFYgoEAlaI5f3lfdzf37cOXWB5vBvP4yWVXvRA0juGmf3uqPOApEHYTKVSms1mymQyK4gO\nsDQsZbxBOBy2MAkoejweq9lsKp/PG3BAGDccDtVsNq2Fm+9oHSQSy6nteBxJhqbFYjHVajWD1Gu1\nmj1+JBIxBK7dbls4idcLhUKmEyfJDgk2PV6M8KdUKqnb7SqXy6ler+vBgwd68sknTfwRtI0N7jiO\nEomEGo2GotGohsOhHj58aMKSJycn5t2oG21ubmo+n+v4+NiMm/qSJDNcgBDCMg6Qi71CXkj7HWBA\nr7kuNWBAa/N0OjXIejAYKJVKqVKpGDKGSGEikbCNA++LVSgUVqRuvSidtxBIWzUfLqcxxEyvzloi\nkTAj7XQ6Ojg4MMAAuJzcQnqsP7BYLIyHN5vNDETIZrO2CSWtdMPiDfL5vLELgKhByxB4JB8hPIVx\nDkI5n89NDjgQCKjX65nyTzAYtPft8PBQp6enFgZLsgMJpgdQuxc88IIIXsTN+/O7AUC41MYznU61\nublpWmjAuI7jWMgyGo10fHxsPf+gb5BA8VbVanVFcJ3ef7wKfT/z+VzZbFbJZFKpVMo2AnC59NgI\naKzzwrhA5q67FAyhntNqtdTpdAzaTiQSyufzxs8D4aPtAiMPhUIqlUqaz+fK5XIGQ9OTIz0Wb0wk\nEkokEsah80LxvBflctlY55JMBH82mymXy5l38UoV41VTqZRyuZzm87k9DrA+dSLeH94TLzoHzO2F\nt9/J61JfveM41llJiAQDmg5RRAf9fr8ikYiKxaIVGNFaq1QqVi+JRCKmvkPCDouA05h2BGBeSSqV\nSgqHwwZbs9Hi8bgSiYRisZhyuZxdJxsGdnU+n7eNj/IONSOEHYGOARAcx1nZvPV63bpeyV0kWQ2K\nOpe3mAndCE/a7XatyAvrod1uK5FIWDiLp+JQgWuHFPH6+rrq9bpKpZK1xW9vb6+gcxwm3t8v1oWk\nx7Wpd+K61MYjydqq19bWDOrtdDqW/NNeLcn6YAhPbt68qVQqZUVISZZUo1iztbWlfD6vcrmsVCpl\nXms8HhsiR8zubaprNBpGiWk0GpJkHoXTdjQa6ZlnnrE2CeoxgBzkQa7rWoEStA7AAG9EewQtDpzk\nkqz+BGhRLBYN6EgkEivtCV4ZKsRJvMBGPB43rQhJKhaL9hgwPMiJptOpdnd31W631Wq19L73vU/5\nfH7FSKTHBsJ18zfvQfNOXJfaeICW/X6/jo+P9eyzSwCk0+mskEEJY8gzgJlbrZbOzs7MO4zHY9tQ\nmUzG0C6YxpAuT09PLaGPRqOWY+RyOYNtgX8TiYQKhYJisZj6/b4xo6GstNtt3blzRzdu3FAwGNTm\n5qZ1hHrBgEqlItd1de3aNatrkT9JMooSxgl4ARCCt4S1gLEcHBys6ByQO2Fo1HxoTycUDofDGo1G\nqtfr2t7etmIz7y2esVar6Yd+6IckSS+99JKxNS56mIu5D4bD93diCHepr5iOUbpIX3jhBa2vr2t3\nd9fyDWBqNM64zXEcKzw2Gg2NRiPlcjltbW3J51tKPlGrQH7XcRxtbm7qxo0bBkAg1AHKxiYkV6nX\n69YWAKmUOkwgEFC/31e329Xx8bG63a729/fluq4BEFwzXoi5QiTo8XjcTn0Y0yBfPE80GrXN6YWM\nefzFYqGNjQ3T5R4MBgqHw4rH48Za8BaTvYwCn28phoLRolxEf1MqldLp6amefvppe10wKKLRqHmV\nb8dEuBjSvdPWpb5iQpH9/X01Gg1VKhXzHtls1lqcofBzKqKbNhgMtLW1pVKpZJuhVqtpPB5rOByq\nUqnYyU7x8ejoSPv7+yvt3SBwQMXUWwiRQK0ILdfX1+X3+7Wzs6Pt7W2r2pMzSDIGwHg8VrvdNi9A\nQRgGNQCItMz3QNAgrXr1C+CkAcm///3vN+8FRYm/0ZaQSqWUTqct+Zdk4SqoIqxwx3GUyWTMqCqV\ninm+arWqp59+2grJvE/RaNSM6NshcN6Q7p0Wvl1q4/Eyl9kgtCh7yY+dTseg7FwuZxPfxuOxWq2W\n1TA6nY4KhYJNfJtMJt/CmubDvX79utVghsOh9vf3FQqFDL0jJ9nb2zPE79GjR9aB6rquVe8LhYJu\n3rypUqlkbIhGo6FQKGSCh7CyYTNLy96aW7du2f34G9dFc9xsNjNtBTxjKpXS8fGxGSt53nQ6VT6f\n161bt9TpdHR6emp0Jm/BmTwSD9ZsNjWfz41ZkUqlVCgULOSllrW+vm6HGtQdDJvw0euFCAExqHeS\nAV1qhkGxWHQ//elPKxaLqdvt2qYHCt7a2pLjOKrX65ZosxER4/CGNzSDSY+FLEDzQNloF0AwHqo/\ndBpJqlarphsAW5kwks0K9Nzv9w1pi8fjhuA1Gg1L6qPRqObzuTY3N40GlM1mV4AIn89nvT7e0Sfk\nhWhh079Egx2FZiBw5Lu83bOHh4crkDL0G+mx7C+6CeFw2ICVVqu1oraKgH6j0bD3EbaDt2WEx/Qe\ngF61HtDU7+P6nhgGb8jzOI7zyHGcrzuO85eO43zl/Lac4zhfdBzn1fPv2fPbHcdx/p7jOPccx3nB\ncZwf+V6eg9CNDcPJlU6nrfGsWCwqGo1qMBgYXR+ollheksHZNKjFYjHFYjGDWTktJdn4RhJoTm3a\nImAljMdjG7pFKMOGkpZ9Ot7CKsYfi8WUzWaVyWRWYGY2N5LCMAug8UDDIa+hsEsHK/+LB+31embY\nMAjwKhBMy+Wy7ty5Y02GvG/UwhCHzGazGg6HqtVqRsgtFotmaOPxWMViUTdv3jS2AbUiRPDJY70j\nJlkXGQuXfb0ZV/gfu677Po+l/qqkL7mu+4SkL53/LkmfkfTE+dcvS/r7r/XAJOr5fN7i5mQyqWKx\nqFAopHa7ra997Wsm2k6YQI5AFRxtNNAkiJCdTkej0Uh3795Vq9Wy+ghytXzoNIkBPKBvgLFhIDAA\nMFIMPZ/Pm8dDR4ATmnCGfIy5QvDbyFG4P+0PtCzE43ELPcmT4vG4arWa0ZgikYjliHg+PBS54eHh\noYrFot73vvetQPNMHQc4gFEhSbVaTd1uV9vb28pms4pEInrw4IHG47E+85nPWE4GukdOx3PzmXnR\nN2+792U3oLfi6p6X9LvnP/+upB/33P6P3OX6U0kZx3HWv9sD0QZNnL++vm5Cg/1+f0VuiZM+l8tZ\nKENo4aXRk6RLslMxmUwaV6xQKGh7ezmw2+fzrQygIr/gBPWe/mxSdBQAIvgZoyEkZCMyUa5QKBhF\nJpvNWn5Xr9eNMkPhEo9Agj+fz7W1tWVGzH1pNee5eb20YDiOY7oJ1M9effVVbW9vq1QqrYRag8HA\nkDzyFDze3t6eNjY2lM/nFY/H7WBLpVL2/gAO8DlhRF7mgbcPiBrRZabxvNHszJX0bxzHcSX9767r\n/rakNdd1T87/fipp7fznTUkHnv89PL/txHObHMf5ZS09kxKJhHZ3dyXJPji4Zsy5AVpFNdQr7Ac5\nkop5v9+X0vFZAAAgAElEQVQ3aon3A0LgY3193YAGZKaYVMAHm0gkLF5Pp9OWpHPCAv2iryYtE/9C\nobBCCAX9g9JyfHxsk+yazabRZCTZZqdtAfoOdSTIr/l8XrVaTdPpVKVSyRryCNcIDdng3kOG9wdl\noVQqpQ9+8IOGQIbDYZsuAVpHwXY0GqnRaBicPRwOtbGxoY9+9KP64he/qBdeeMGMAkORZD/zOUla\nYWBjpN52h8u03qjxfNx13SPHcUqSvug4zsveP7qu654b1ve8zg3wtyWpXC67SETxhg+HQzv1ksmk\n+v2+1WxgBqBlzYfFkF0+cE5RYNdarabt7W0Fg0GdnJyYsXnhavpgvJMRQP4I07zNeuRU3s5SL2EV\nEIRNTI+P1zip4lMAnk6nlnugUweEDOyczWZN3KPT6RgK51X3gc9HSDYcDtXr9awZjzwJWk6xWFQ+\nn9dHPvIR9Xo9/fEf/7EheoR4aCXgRe/evavpdKoPfvCD6vV6unv3rgESeB+Wt7jrBQ+8LRnfZwDh\n2643ZDyu6x6df684jvPPJX1I0pnjOOuu656ch2WV87sfSdr2/PvW+W3fcc1mM9Xrdcs/2ASc+q1W\nS6VSyRgBi8XCKuWcjrlcTs1m09jHKPFQu8Bb9Pt9HR4eWo6B4cXjcYNPqcZTgK3VavacGBkGhAck\nz6AtgrCN4i9QPEYpyYwXOgybrlwum3IO0DDt2YRqoF4k9KBX/X5fa2trBnjwOJLMm/AeI5WFSEq7\n3bbaV7lc1u3btyXJum+vX7+uaDSql19+2QaHffrTn1alUtHLL7+sW7du6fr16/qTP/kTAzPgwfGa\n6cb1eh0KqVCkLpsm3OuGqh3HiUvyua7bPf/5i5J+XdJfl1R3Xfc3Hcf5VUk513X/W8dxPifpVyR9\nVtKHJf0913U/9N2eo1QquT/xEz9hAAC1FbhXcNsYrptMJlWv102OCSKot5+lWCzq+PhYjrMc7xGJ\nRHRwcLAiLlgsFnVwcGDhGxsbhAgjpJhI0ZI6DYkuBsh1s1GAar39QPQNcd2hUEjpdFonJycruY4k\new6Sf1o1KNqy2u226vW6pMfDkcnZADwIcVHNITz0quNMJhOVSiVVq1V7P3lfgLYJ1wifudZ8Pq/n\nn39ev/M7v6NnnnlGv//7v29TK7wMdzyNt1mPz5yfvSHdW7zecqh6TdIfO47zNUl/Jun/dV339yX9\npqTnHMd5VdKPnf8uSV+Q9EDSPUn/h6S/8VpPAF+Lk5gFHaZQKFhhz3VdVSoVI2R2Oh2j2XOyU2zM\n5XLa3t62WH06narT6Vjus7+/b0o1UH0Wi4W1LZDnlMtl8yZsBmo50HsIhSTZpDkSfowH70oSDW0I\nWd5er2cejbwCrwaKNZ/P1e129eKLL6parardblvBk1BIkmm3NZtN85g8pyTbzPAFec5wOKxSqWS8\nOcd5PJKRfh/eI6Bov9+vdrut3/qt3zJRyZ/+6Z/WxsaGNSzymskpCdm8nDfve3OZ1qUukpZKJfez\nn/2seRAY0UDP1EAImSiUejfh+vq6JeJeQ8nn8xZCFItFNZtNq63Qk+MVTGdzSo8TXYqA3rgcI2fj\nHh4eam1tzQwAY2fjA1Dgdfh/wjFapAOBgNVRKpXKCkSN8UHdgQtIIx50omazad7PW/WH0uTV5CZH\n46Dwhp/e1+9F4CjkehkEdMmiqvrUU09pf39fsVhMX/3qV40GRHgJi4LH9Oppe0O6t3i99UXSt2Pl\ncjk7iUjCCTNarZYVSFGvISGlmW00Gun+/fu6d++eVcRB4vAirVZL6+vr2tjYsJOVyjj5BYwAL3pH\ncZRrogALNYfrqFQqVsykMY7WABA3jI3QBDSO9vDBYGBeFcJqvV63onAul7NiLuKNbEpYBsh4dbtd\nAwMYX4JReYd/YZwcToTPkEppr2DT4xHx+swGmk6nRttBwN7v9+uDH/ygeTAMkvzSy77GK7EuC3x9\nqYlEoEiFQkG9Xs+6F2u1mpE9kaTt9XqmM3Z6emq6BrFYzCrtzPeBfgIS5/f7dXp6qve+973y+XzW\nekzTVzKZtBwBtVG8BDA1m5cNy2Nz8nI/FE25D92r3vg/mUxqsVisyEwRfnGAdLtdZbNZQ+eAyMfj\nsXlP6XGe0Gg0LD+iv4m6D0AB7AK0Dmjwo/Wd95Hr90LMoG35fH5llAmexFuTo3Z2/fp1ffzjH9cf\n/dEfmafxiqzwnsFEuGziIZfaeKRlwliv19XtdleKiJlMRvv7+zo9PbVQB09ATkThr1Qq2YfK7fV6\nXevr6xae9Pt9feUrX1Emk7FpDGdnZ2Ys0nKDNJtNO5WJ6zEsTkRm+kiyYiR9O94EWHoc0wMCAFmD\n1jHxoFarKZ1OK51OG8GSsKpcLptBU5SMxWJmmDwuPDqKwV76DYVeKEsXdeXIGSVZLxFjXrwhImUE\nrwgI7A6mUICY3r9/XxsbG3r22Wf17//9v18BV7zyVfzuzd2k77+IyKUP2wiF2DCcxrCc0RuAAUAH\naL1eV7PZtLbm0WhkNBTyGS8cCpugXq/bsN5r164ZhIsnAaEiQe50OvL5fCZjhY6Bz+ez/hm01DDq\nyWSiXC5nmx0WM56TYjCt4jTihUIhdbtd8yJoFxweHhrYgXfD24XDYRMqASRZLBY6OzuzDtRMJqNs\nNmu6EM1mc4UTKD0mp2az2W8Z28hjAjRAiWIahFf4BNgdkOHg4EA+n0+f+MQnDLrGYKTHIdrF7lTv\n375f61IbD6cQumXMo6H/HoiXnKLf7yuXy6lYLCqXyymZTGo6ners7MxkncihstmsJFnIAnjA41ar\nVR0cHCiTyahUKlnXJjoDJLKhUMgoNDSVQW7M5XLKZDIWUjECxHEcm4JAoRZumLepDc+JV6lUliUz\nL9sCw8Yj0oBHjoZONsO86KLN5/PqdDoWTnknxWWzWXufI5GItYBIsvduZ2fHjNPneyx17DUqwAf0\nIzh4JFk/0nQ61cHBgZ599lmTQ6ZA7W0RYXlpPN/vdanRtkKh4P7kT/6khTRotgUCAVPHJJSDygFM\nTEKMsN9wOFQ2m1WpVDLBi6OjI4OUJVkrNic8rARJpkQ6Go20sbGhSqViLd2EPUj3wsWjbTmZTCqX\ny1nn5SuvvLLy+GwU8gmKoyTMTHzz+/3WDoCh12o1AxVgDnS7XdNImM1mZiSMaYEbCPEVbwPzwavx\nMJvNtLm5aXkIMDr5JAOTA4HAt0wBp12dGhPh28X+HcLUX/zFX9Rv/MZvaDAYrPQ2ETqCvnGoEjm8\nBejbO3+U/Nramvu5z31Oi8VSIB3elfR4UjacrHw+L9d1jTCKthh0HW/8Da3/8PDQEC8vQbLdbqvX\n6xlaRzjBhwctBRi7Vqup3++vEDNJpBGQ5wPGa0HTCYVCOjo6UjqdNsqN4zhaX19XtVrV7u6ubZCz\nszPTZOB143W4dsabEIIhBnJ8fGyGzzU0m02dnJwY9E+jG60JsDQkGXx9+/ZtOyy8slp4XLwkHESE\nWpg44ZXLAlqnb2pzc1Mf+chH9Hf+zt8x0RPCU7waOSNf7N83eR+/O4zn+eefNwWddru90q/vjaGp\nL0CRoWeFE5qfXdfV2dmZ1tbWrAGOMIimMW+eRP3G7/db0k49A2ERiqMIiHiTdq8uGqc8xVy+stms\nHRCSrKhbrVZNnBG9a4ydfI5cxzsoGM8H4ZNiqCRDuiKRiJLJpDqdjp3+GIAXfcP7wQKPx+P68Ic/\nrL29PRso1uv1VCwW9eDBA0mynC6RSOj+/ft2TVw3IAzh2Obmpo1Xyefz+tznPqdf+7VfM0Ku19PA\nBOE279ebuN4dxvNzP/dzVtiMRqOmLQ2aUygUDL6FBT0ej+00pTrtjdkpttJdWiwWLeSA/hMMBjUc\nDm2zkwsQOlJnoUs0EAgok8moUqmYJ6QlwHVduy6ERgg5IGomEglls1kdHx8b7J3L5UybDpUgWNMc\nGsT+8/l8RYLLdV2trS0J7ST5R0dH6vf7VlyWlnUd7geBlVDy+PjYenK4ll6vZ60IIIi8F1tbW9bW\nzRe9SYSCqPlwzXhfmu/G47GeeeYZdTod/cEf/IEZj9frXPRIMOTfxPDtnV8kpV0Z4QriaygqMAco\n1tHbH4vFLCeRHo99hzzJaUuTWKfTWflQgLKl5ca7ceOG1ShQ7aTpTHoMbNy9e9dqH6enpyYnBXsA\nj+Rtyms2mwax04XaaDRUq9V0dnZm6BqvM5/PWys0jAbEFmlTgCCKtgOj7mlHR7aLbty9vT212+2V\nmoxXxQfxEsaTwHhwHMcKoZBE/X6/PvCBD8h1XeVyOQt3r1+/rvl8rt3dXaM8ra+vKxBYTgenphON\nRg38+MQnPiHpccGU5+TrIvr2dq9Lbzy0HkCdwaOQh+CJCC9Q1uQkpiWaGBoD2NnZsfoM9Q3yEK93\nqtVqxirI5XJ6+eWXLYmXZCgVYR+9MpzUAA3oTeM1JdlGzOfzFgZxyqJ/zeagz8fnWw7nQrFzOBxa\nQZNiKTUaTvJOp6N6vW5h44MHD7S2tmbSU+Fw2AQ+OEigEFF34gCiPZ2WBzh9HEq9Xk9f/vKXFY1G\nbe4PBw6hoiR73Gg0qnK5LL/fb7Jg7XZbDx8+1Mc+9jF9+MMfXkHXLiJwF//2dq5LbTxewiBoD28Q\nH0IymbTCHLQa5JTwUkCldDMiQUvij44zGwFqDugdjWTNZtOIpiTLbMj5fG6bmVCEzYDeNvN7qJMA\nTTNniI5Qb95Rq9Us5KRlej6f66mnnrL3SJKxGw4PD60vyKvjEIlEzJP5fD4dHx8bigXBlhbzfD5v\nyqCu664orhIeoSpEOziyWpFIxHIzb3t8t9tVJBJRPp/X1taWstmshd6Ef7VazSDvVCqlf/Wv/pVy\nuZze+973Wn540etw28UC6tuxLrXxSLKOSJ9vOd6QIba0IFBErVarNm4exIlwic5KyJPHx8dG4Uft\nBnFBCn14lGq1qsFgoLW1NRWLRbXbbYvnaQnHCICQgawpIO7v75v4IvD61taWsQ+Yh3rt2jWL46PR\nqLa2tlQoFIy7B3oFKIJiKUYJ0MF7ADwMLxA9OTY/BuCd6cPISVjWnU5Hx8fH2tnZsXAPryQt58Ni\n/HgnQBSItYRz9FQlk0ndvn1bW1tbdkh42z/oRwJd3djYUKlUMqqOdwyLpJXw7e1kXl9q43Ecx6rd\nIGGFQmGlt4XTx8sEgLqCXFQ6nbbek8lkos3NTeXzeZ2cnBgjgEInH3i5XDbjCgQCOj4+VqPRsGG7\neCFylWg0anBsrVYzygwnIh7JPVePQZaKkxTQgvGJZ2dnarVaBptLMgY4UlDUbABGAD+QCMYj0toA\niEGYCcxer9eN3QDC5u0ufeqpp9Ttdi2EdRxHTz31lHkA5IYJ787OzoyZfnx8bAaTy+V0cHCger2u\nF154YaUjOJvNWp8P8H6r1VKz2dSNGzf02c9+1mSFvR7n4tfbCYBdauNBjXJ7e3ulaEYh7uTkxMQA\nocTAv6IjMp1Om64bFBjY1OFwWPV6XZFIxLTbMpmMarWajo+PJcn026h89/t9Ox1J7mExc1rTJcq8\nnWAwaDQbTm02AN4LyShv92qz2VQ0GrVNg7wW4AaHCY9FFR9ggv9B4efo6MjyLVBESQYAEHKR95RK\nJatlTSYTbWxsmFb30dGRMSdQ0ZFk185cIVqsDw8PdXJyomw2q42NjZVrRT/i6aef1vr6unw+n80v\n8vv9+sIXvqC9vT391E/9lDKZjIWjoKMwwt/u3OdSGw+JM0osbB6QGWJmquucqKlUyhLhSqVi9B5Q\nJ04oQi7XXaqOIjIYi8VsqvTm5qZ1SsJK9kLEML2BvYFfz87O1O/3DRE8OTkxxM/btQmgUK1WzWtK\nsiJvMLgcuttuty0MpMEO1rkkYzzTFkC+BhLIFDk2HdX/TCZjMD0HAKqqIF/A5q1Wy7wMo1wIdekv\nKpVKunHjhtWYIMOir1CtVtVsNo0pTz52cHCgg4MDFQoFbW1tKZPJWC9TNpvVw4cP9fWvf11/9+/+\nXW1sbKy0LHjFXN5O73Op6zylUsn9mZ/5GStYBgIBa1emppFKpay+wkkryYqq3uYzkvxisahGo2Ha\nz5JMAw2pKwqrnOj0+bBZHMex/IsRItBivDpu6C1Mp1NlMhk1Gg3jk6E4Q67GxgbubrVa2t3dNQUb\nBkyRT3hZDCTa5GJM1IZh4fP5lM/nde/ePaPlEGbSN0TfD54tGo0aEx12Bp4EhjQADbODLkL+FGcp\nJJO38hpI8tGHAHbnMOBAgrokSc8995z+2T/7Zzo5ObFaHIVT6j5oH7zO9c4vkpbLZffzn//8t7Tr\n+nw+01lDwOPhw4dW55Fk9Q6oOZ1Oxx4DJI2NSxKezWYNWSNUgXeWz+eNyc1zOo5j3alQcEjMh8Oh\n+v2+FSiRf4IYysbD4B88eGDSwNBiQqHl4N7t7W0LL8lV4OFJjycs0I5O+4CXsDoajbS9vW1i+ZBK\n3XP5KloY0un0CjOcBD0cDuv+/ftm4F6VHkLLzc1NM/J2u63Dw0P73yeeeMIIurAStre3dXp6avdx\nXVcPHjwwg0qn05ZfggZCLv34xz+uP/3TP9XXvvY1M1AKqV72wetc746BvnRGIq3Lm0M35mKx0MnJ\niba2tkzLeW1tzbhauHMECRGvSCaTajQaFjbxuMjaxuNxra+vG/GyWq0qHo+rUCioUqnYyY+Kj7Sk\nvqBmSiGVlgAkrZrNpiXKECV9Pt/KuELaqjEuNketVtPm5qa1K7CR4ZphbAAkAAej0UixWEzpdFq5\nXE4vvvjiSnWefAz0DU4gtSvCzGvXrun09NRQNSbvoU6Ed6nVatra2rL6D6gluQwev9VqmQdDjw6B\nEcAb5MSo+bVaLd25c0ff+MY31Gw2VSqVdHh4aDkeIZz3oHyr1qXOeTidqW1AhKSPhfZlFDZTqZQk\n2elEOwDIDe0EtFXDhJaW4VmlUrE6DpuL9ofFYinE8ejRo5Vkl4JqOBw2iDUcDht8fHZ2ZmwFaQmC\nFAoFey2RyHLKHEbWarXs1I9EIiuKN3R1kv/AjKZ4OZlMbIhWLpczcUfXdVUqldTr9WzoL4gkGw1G\nAPUZx3GUTCZ1cnJiijjz+dwmxdVqNes8JXQ+OTlZKbYWi0UDebjWcrls4RThLu91oVBQLpczKBo6\nE0bEDKRXXnlFL774opUDUqmUhZPe9VazDy618UhL0iCNU94mL4wIAfhut6uTkxML57yxMicvxFCK\nmBsbGysnHJ6NDxPRCprgCBuRhZJk0C6bw3EcPXr0yGofbEjyI8aLQPlHD4APOpfL2eTuSCSiH/7h\nHzbkCu02GBGo2RBy4gUwanQM0Jgj/AW0kGQsBiB34HzeV2hJx8fHarVa8vl8evLJJ1c6aL0KPDA0\nGO1CnhSPx40yBeO7Wq1aPgZKB0tDWqKAxWJR5XLZKEJbW1uq1+t2n1AoZDW8ixC2F0h4K9alDtsc\nx1GlUrHQg4QfaBm6CujTfD630EN63OhG0ZPGs9lsOc+m0+msAApAvHgGbxcoBTzHcVaE41EaRYQd\nZjMSTKBatD1Q3wE9jEajK6MhKTIy0gOvUSgUjAtHbw/XxZBhwlLatzGSg4MDO2h4Pd56SafTMQYE\nRg6pkwY68hIAm5s3b+qVV14xg+ZQQe+Bdo6DgwMNBgPF43HLUSlQk6vBuysUClbjWVtbU7Va1aNH\nj7Szs2P3528cbpLsvfMCFTAh3iBw8N3352UGDIrFovv5z3/euFYIY0QiEWMpEyaAWEEYxTAIhUDs\nSKBbrZYNs+WkJMSDOoJmdL/ftzALg8pkMtbQxmAtvAlcM7zRfL5ULmXkIiACm6ZYLKrb7VrIR65B\nrlUsFo1fBz+OA4E6Fs2C1Iqk5RyhfD5vIaskk7OCmoNXpC5F5ykQPic3gAihVigU0nPPPWdT+F56\n6SX1ej0TAslkMtY6fnp6aqjm6empQqGQPf9kMjF0kugChSNAF+/cn9u3b+sb3/iGkYG/9rWvGehy\nenoqSYb6YUivw3jeHYAB6A/gwGg0ssq8VxOADQ8plM3l3fBAruQ+QNaz2XI0B6o0g8HAknTUONfW\n1qzehBcC1qatQJJV+QmBJFkv0MbGho364ISlyYyWBuR4QcGuXbtm+RXJM2HfxSl4bHxqQc8884wJ\nyNPcxmtCIisYDNoBgVdFj44THiYDrw/v/PWvf91O/VKpZOhWOBxWq9VSt9vVk08+qWazqUePHimZ\nTOrmzZumocehB5LIADPkr+r1ukUBhIT1et36nwhZ4dVBnbq4h94q4OBSe5719XX3l37pl1b63+Ft\ncTKiLQD6xIbwImjNZtP+H0EKxDkY8UEl3qv/jDfyNt+hLQC/LR6Paz6fa2dnx0LLSqWiVCplFXwa\n4QghBoOBTWTAW3oFQqCpACJgULlcTv1+33qRKAyjAASStb6+brnYYDBQqVQy1jhMAJC22WxmOm4k\n6pPJxEKsnZ2dFWJqJpNRtVq1w4emPPIh2j0oB4xGIxWLRe3v72s4HOr69eva29uzOUvtdtvqcdFo\n1K6nWCzKdV09fPjQWrp5DcPhUFtbW3rllVd0cnJinsbv9+vs7My8lpcs+lc0nneH51ksFuYFqIFQ\nOfdCtsTv3W7XtMsYw4g81fr6unHlCOtoSUbmiJyh3+/rxo0b6vV6tiFms5na7bb11GBga2trxujG\nQ3Y6Ha2trZkuNuMbs9msNjc3rUWgUCjY64U+RLclyjzlcln5fF6VSsWE1LPZrPb3922UInWfcDhs\nBeBCoWBQNsk4RFpJptcwn8+tM5aC6/r6uvVTofX28OFDa3ugvoNH8upnd7tdQ0R9vuXE8HK5rGvX\nrpneNflcNBrV9va2Dg8PrccH9SMYHpBgyc9oLaeADGDB4ehlobDeCubBpTceFG+Ojo5M/og5MpzY\nqVRKZ2dnKpVKK3ppsA42Nzct5KE9mdCGDUpVny5SYF1vG/VsNlO5XDbkystVazQahnahV02dAzSp\n1+sZsEBbM6c9kDeMAElWuByNRjo8PLQ4/8aNG6pUKtrd3dVkMrGwslwumwAJ3lF63Bfl8/m0v79v\nfTZ4HzhkgDE00SH1BXxN2EeuNZ/PtbGxYWWCk5MTE2gknKOG1Ww2Lf+CDEpfFsVX76wghBN9vqUE\n2MHBgbFDCEeB/ZlwfpEz6AUOfuCMR5KJtrMJg8Gg1tbW7MMmwWawk/Q4KUZ4ggIrpEbYAaBeJLnw\n3s7OzoyiwxQ42AcM1eLviMUjIphKpawvBSYAjHBOfsI2NObg2fV6PW1sbKzwtXZ3d5VOp3V0dGQe\nBKQNo0FBCI+EnC1hW6FQMHImutGtVks7OzvW5jCbzawWRFUfzhqtHCB13jySNgzIpVBoILxyOMA2\n39ra0ng8tsa/TCazwuJmnlAmk7Fu2V6vp83NzZWu1fl8rmq1qk984hO6d++eJNm1wfggr3sLNA4k\nXfI6D1Qcr4xtt9u1rkqMgzCB3ICio7cQeXR0JJ/PZ2IikDQ7nY7Ozs4kyUKYfD5v9RlpGd7s7e2Z\niiWnOLSU69evW9Le6XSsn0WSbQ6fz7eCZDEklwJnMpnURz7yEWNtw7WjSAz4UKlUVK/XVa/X1e/3\nzahgf3PIpNNpa04bjUbmFTjtt7e3jVmNEmmlUrH+Hzh20HmgIVEH47qbzaYqlYrK5bIhaigREWIP\nh0PlcjnLsXgPptOpSSNDL8LzEqKlUik99dRTxln0dtGura3p0aNHevLJJw2wgbDqBXG8LQtv5rr0\nngdNZk4PWg7y+bxBydA7UM0h3GF683w+161bt0wWCiQOsiineDKZNEUaPnx6gkj64YTlcjnVajUb\nIMWHKsnqQZlMxsJCPAk8LZrESqWSMZf39/eVz+eN1Or3L6cKnJ2d2WPC6IZtjdcYj8fa2NiwPAI0\nkFOaMJe8DWSr2+3q/v37SiQSK4cFQAmhIt6uUqno+vXrSqfTqtVqhh5CMuW1khcRMgUCAZXLZXU6\nHQ0GgxWgpNVqKRwOK5/PG4WJAixoGTQmwkz4iC+++KKeffZZnZ2dmafxhnKEpl7azpu1LrXnIYGX\npLOzM0sEOY3RCQBepiUBaafZbKZsNmubttVqGerDpgCl4oRmTg95ESjceDzW2dmZ8vm8hXbURRqN\nhhqNxkoDHSesJIOB6UVhnDsKNSTwXB/Na+FwWIeHhxoMBjYShXrQ6empjQkJBALa2tpSv99Xu922\n17+1tWXKnBwaCLvD/QMt3NvbM24ZbdP06pD485rgppGco88wm830nve8x3K5O3fu6K/9tb9mngC4\nWpJp52WzWQUCgZXXh4QXfTr7+/tKp9NaX1+3aKPVaunhw4emOERn7HQ6VS6XM1oV0ctbsj9f6w6O\n4/wDx3EqjuN8w3NbznGcLzqO8+r59+z57Y7jOH/PcZx7juO84DjOj3j+5xfO7/+q4zi/8L1eoJdV\n6xWNQFWSKjv1Cp/PZ+xqVGzQNoMNTDJPTkPcD4Ue1A5YGIgaid5yuWxSsSTf3pwKbwUFhufjsRju\nCxjR7/etkxPSKtX9Bw8eKBgM6uBgOQs5EAhY3seJDDxON6m0NMTT01PbaHgyNtP29rad6rxneJDZ\nbGbDikHUXNdVKpUyAq70ePyj4yzVhorFooWM1LZeffVVvfe979V73vMeO6Bu3rypdDqtnZ0dFQoF\n3bx5U5Ks8c7bIQuT4Pbt20aTwtMCOpydnenDH/6wnn76aYVCId28edNY2nhrSW86Xed7McnfkfTp\nC7f9qqQvua77hKQvnf8uSZ+R9MT51y9L+vvS0tgk/S0txyl+SNLfwuBea6VSKeXzeWvaAj2BegK8\ny4wcGsjYVCSohEP02KDqCaRZKpWswu0d00FD3tbWlhUH9/f3VavVLNF1XdcIncT5gBlsTgyNeT78\nnWo9reYUAL0JO6KG5++lMcqhKbGRoAZh/K1Wy7QdqGeBWklLyn8ikTCNgHQ6beRajA2ZK1o8YrGY\nnj4AHskAACAASURBVH/+eYP4YY7TvkEIFo/HdevWLe3s7Bhw8sQTT6hYLFp5gVYNb3jW7/fts55M\nJnr06JEWi4W++tWvGu2qXq+vsOGvXbumfD5vCrD3799fUW2l+/jNznte03hc1/3/JDUu3Py8pN89\n//l3Jf245/Z/5C7Xn0rKOMuhvp+S9EXXdRuu6za1nF960SC/3XNbPQdFGeor1CtgDLABm82mqtWq\neQTE34G30aGGy0XNBwDCS4cHQOh0Onr48KFc17U2htu3b1vRL5lMWr4Uj8ct14KZDMM5l8spnU6b\n8VOcpPhLzQK2OCEWbQOwwDc2Noxh4M3tCEG73a4dMjCaocqUSiUL7wA/MGbQOdoj5vO58eV6vZ4R\nb4+OjvTo0SPLPdLptDE9OBDa7bZOT0+tRke9jAMQfh0abeRulB1ge4CeDYdD/ciP/IgxysnHms2m\n7t+/r8PDQ2WzWRUKBSuKe72OVyTkzVqvFzBYc1335PznUy3nk0rSpqQDz/0Oz2/7Trd/1wUdB8TM\nq8AJdAxQgIAEsfTJyYl2dnaMjZzL5YxXBamUNmFORmSUvGND2CC5XE6SrKmu0WhofX1d9+7ds94U\noFu0ykDcxuOxjVaUln05oGKSrO7hBRWoj8Byhl7U7XYtf+H9IbwhYcYbAaVT02k2myvQtrSkDg2H\nQ925c2dFwINJbrRihMPLYcHUvj71qU/pP/yH/2CoVrPZNK0Jck8kgDFK2gfOzs4MViYX3N3d1aNH\nj6yTle5Q8qFOp2MgAdFAJpPRU089pVqtpu3tbWWzWf3Zn/2ZvS7v+4S3ezNrPm84k3KXV/GmQRiO\n4/yy4zhfcRznK0Cc+XzeCmgwj4+OjqzWgPcoFAqqVquSluHe0dGR1YGAe71tws1m00IBFC/JSaLR\nqLVDMEtnPB7bZARaFVCcYZOAuJFwAzvDKADJYogURWBqPlDyb9y4YeTRXq+narVqiJPf79fGxoYW\ni4UVfcmFvJ2roExcG8IbIIw0GmK429vbmkwm2t7e1u7urtbX15XL5XTt2jWVSiUj3yaTSf3FX/yF\nyuWynnjiCYXDYWsLABGlGbDb7erw8NA8LEVQwtudnR3jCOJNn3zyScXjcT399NMqlUoWgn/961/X\nxz72MYP6i8WiwuGwarWaHjx4YB40m81qd3fXWCMcUoRtbxaA8Hof5ew8HNP598r57UeStj332zq/\n7Tvd/i3Ldd3fdl33Wdd1n00mkxoMBtb0BFgwm82siAZnDX1nCoIkwZJMXQcUiZCKqn8sFrPaEKwA\nKCCETdLyNEulUgbdgjpBS4GjFQwGLYdiNKG3UIrOHPw4wp1cLqe9vT0FAgG1222bKu2dcYMSJwBB\nOBzW5uamXRN604ScGAoeGkImWgyDwUD1el2Hh4d65ZVX7HoR3tje3raBYoARF4m3165ds/YKDAON\na4i3aCLAxsCIzs7O5PP5rI5EY9uTTz5pTAPeh1QqpT//8z/Xj/7oj1r+dePGDa2tranVaikQCOjm\nzZvqdrvK5/OSHgMseDmveMsbXa/XeP6FJBCzX5D0e57bf/4cdfuIpPZ5ePevJX3ScZzsOVDwyfPb\nvusi7ibc4YXDHUP9kph/Op2aWg4jP4BZJVlHJIVSScY08M7kmU6n2t/fN9ELNlM6nTZoFA1nUD16\nVnZ3d63vhYax6XSqw8NDnZ2dmSStJOsWlWQbDE+CoEij0dDJyclKM12lUjFhRGmZG1LbovWax43F\nYhaqkdegrkOIB9Q8HA716NEjffOb37T3tlqtWo4ISIP3AWUjxKQtA4VRchbvSEbauGkd73Q6NniM\nUG+xWOjhw4em1kM/FOo+/X5fn/nMZ7S1taV4PK7bt29rc3NTN27c0Ec/+lEFAgGdnZ1ZmcG7XmeL\nwrddr5nzOI7zf0n6jyQVHMc51BI1+01J/9RxnP9c0p6k/+T87l+Q9FlJ9yQNJP2SJLmu23Ac57+X\n9OXz+/2667oXQYhvWRdpFUDGoFok3oQLKMRA1wEJI0yDwg6EzKaTZLw27+Y8Pj62xJVTF0ic3iKK\nfTxGo9Ew2JeaDqGTt/jKwRAIBFSv1038A8MjT2GMCdrQACUgVHSsggyiSsPJTALtLXSiXkMewAZl\nmh6oI7A9M1F5j+bz+YqU1tbWlu7evWu528HBgXW/plIpUztqNBr6wAc+oFqtZr1M29vbVuD01tSo\niRHSARK45yIhtIb4/Uvd8Egkon/37/6ddnZ29NRTT+n+/fsrUDxGxOf4ZuQ93wva9jOu6667rht0\nXXfLdd3/03Xduuu6f9113Sdc1/0xDOEcZfuvXNe96bruM67rfsXzOP/Add1b51//8Hu5ONd1VyRj\nocpD15Fk1XIABE51ujoxGBJkJI4wRAie3v8B5aKKT/svaB9VcbwF4RMno5flTPMahuENA72JOKMd\nyV+gCQFGMIIR4ip1JYxhsViYEdPmTMGYLtD3v//9SiQSK414II20cXDYMKdoZ2fHQjFGvBB+bW9v\nW4coh9De3p7VlUD6EomE6vW6bty4oUePHlnxeTabqVqtKhaLmXF5NRoo5JIPOo5jB9nDhw/lOI6e\neeYZa2ZEIw+vdv36dTsIkObyKjC90XWpGQaSVoTYGUhL2y9jMJiMUC6XrYAqyZqo+LCoBXEKkacw\nXfvOnTs2gS4cDpsgBad3u91Ws9m07k9JKzrVGxsb1g4N0gMfjucETl4sFqYPIGllHAqGEAwGjZrf\naDSs9RtipqQVI0N0BK4fXbfMKN3b2zNhQvpx4vG45QSDwUDValX1el2NRkP379/X3t6esduBk2m1\nnkwmKpfL+uQnP6lSqWTezXtY8X4Eg0HdvXvXwjIQTvdc5uull16ykApeIaMbmWhOLgW5lS+8JjQt\neoFo3/ay5t/MQuml57bRFMbpTQ+NNwaHhgERlPDL5/MZSxiaDsACErYYJ3ArYZkkO4lJaqG6E5Lg\nuUqlklX7qYwXCgUTqQDhk1YnszGKHfo9Wg0k+47jKJ/PGxmT66Ql2qvZwLiQWq1moZVXZJ0wjVwA\nTYO1tTXbWNSa6Bvy6nDfuHHD1FM7nY7K5bJ503/7b/+t1VZSqZSazaYZWCKRWJGdgvEM7CwtD8jr\n16+vwP202gNMMEMIcODOnTs6OjrSYDCwXJX9Qlv5hz70IX3xi19cMRZvm8IbXZfeeGAQ+Hw+a8o6\nOzszvTQIjdBsvIW6yWSiJ5980joN+dChnDDBjQY3hjolEgmDpukhoYAKdYQqPggYHoPeHS/3DNYw\nr4H7ra2tyXGWgozJZNJyIKS2vCcltB3CLfQXCDUxWpjJzM4JBoMWxhD7Q8Ikpzo4ONCLL75o6CRA\nC9psruvq6OhIW1tbKpfL9twUhFHEofCL5oJz3iqPIdEZ2+v1lM/nVa1W7ZCjJZsWCsJxuGylUskO\noyeeeMJUhO7fv6/T01N99KMf1cHBgUUXo9FIX/nKV4whjuF6SbpvNO+51MbDpqGvI5VK2dhBYm/v\nmAzyAcIokDag7kgkoldffVWFQsHqEb1ez1jMFCIJjQhRgKIZJEVhEBDg4OBAt27dMjJpr9dToVAw\nySvaDJjAAAQ+GAy0sbFhCTyhG+LtGCynNS3cqO2gKAOfjl4hXhtdpWtra6aMSojKYyOA6AUhSNzh\n2pFLkf9BxXnqqaes0k8Y+8ILL5gAiHeMIgN79/f37eBBBQhIG0oNXb6ABIlEQsfHx7p9+7YODw9t\ntCMejukPsNUhBO/u7poc2MXi6JvBsr7UOQ8vcH9/X+PxWHt7e1osFjo8PFzZ4F6vMx6Pbd6M4zjf\nIulErkB8TAGPijfFu1AoZNMR0AiAwgMShmgH7RFnZ2fWsw/YQVyO+o+X9j+bzUzZp1gs2ugTNrp7\nrnFAXkWoRi5G6EEVHoIpoSqhG1Az0DoFZOabJhIJra2tGRABMEHItFgsJ3EfHBwoEono2rVr6vV6\nevDggWq1mvb3962G9NGPftTkgR89eiTHcVQqlfSe97xHnU7HRtwzjIwyQDKZ1M7OjiF2hJu8ptls\npkfngpMM9oKtIC37nB48eGBARTgc1pe//GU999xzNhfVm+96qTuvd11q4yFWBz2Ch8WkNVAmvAdv\n0HQ6tRoLHxSxPaEPHyIwLcVYQjMvigYkTFjDRiTUw7shVghClE6nzWh5PRgvBNazszNLgOF54dnI\nZdADAKqGaUxYBDF1NptZKErIRtsFGgXFYlEvvfSShaVeuJq2AFSCyCHb7baxOAaDgb7xjW+o1Wrp\n6OhIBwcHunv3rr70pS/p5ZdfNvpUKBRSoVAwkcd79+7p9u3bNl8J1BH9bvhz3W7XZvqAjI3HY926\ndcuMm7CYEC+Xyxkdi8ZARsV88pOfVLfbteIrHv3NQNwutfHAeyKJ5M1m4zL/plgsqlQq2YccCASs\nXnF2dmbxNPUZEmZyETYY3gF0jv4QxmdIWpFh8ipc8n/E8IiSI+VEmEFbMtoEPDchEr1EMKopYiKN\nxaQETmM8HAVPiKc0qVEzocZzdLQkdoxGIyUSCW1vb6tardoBwsGAxJf0eH4PYRiJPd7IO4nvD//w\nDw3UcBzH3p+trS29/PLL6vV6unHjxgqNaDqdGsCCmIq0ZH1vb29rY2ND4XDYpvPRuSrJerswyEgk\nort375oATLFYtI5ab1OcpJWeq9ezLrXxSDJUa3193WBnNiheotPpaD6fm5wRdSDQHDYsk8agqrCh\nYERTpU8kEoYGUVfgg2bDcVKirXznzh3NZjOtr69bXYQ6BnH9+vq6sQC4PuBdSQYwSLJ8zKtRR9Lf\n6/UMsmXM4a1bt0x9lP/DqNgkdG7ynhC2bm9vW8jDdVWrVav412o1y0t4/uPjYyuWUp8hxMMrwC2D\nBU4+UqlUlEwmzQCoq9FiwgjFUqlkcDrs+sViYQZBvxCvh9w1k8no8PBQmUxGR0dHKhaLll95C6bS\nG9OzvtSAAQ1kjrMc5eG6rq5du2a1Em9LM5uU0CwSiej4+NhcP6Ea9Buq1tls1gyS3IfipyTdvHnT\n2MwgYo1GwyBkQp+zszMDNmAwIAuF1+QayNc4/SFNkpPQ1wL8GgwG7f+pdaDLBhKJ4B8cMhjmVN/5\nH7wReVkymbQuXbzwdDrVtWvXtLe3Z2EdYSAiKZziqVTKwJBXXnnFABGfz6cHDx5oOBzamMVCoWAE\nWcLsra0tC1MLhYKhet6xMbzftFsA/DA7aG9vz8oToKeSLKQmrPMWgTGaNwIaXGrPQ3GLUx9mNYIW\nN27cMGaw9Ljpico+pw2UmVQqZX31NMjRBUqIQNIKWEAvD52fQMEnJyeq1Wr2eDwv7GCQLzYs7cf0\nB5GP8ZpQ4sS7FQoFFQoFmzwHsjaZTGxyAYfLYDAwAiXywtFoVPV6Xbu7uxbboz6ESCGcO5/PZ2AG\n4MDe3p6FXnSLglhRWIXdQKETdsV0OtX9+/fN87VaLeP0xeNxHR8f24H16NEjNZtN3b17V3/5l39p\nykJMzJaW4vdIEieTSb388ssaDAY6PT2V4zi6ffu2oYyMbvTW1qhJEapLWjGe17sutefhZCQ3oLsT\n1/7w4UMTDsRzcEqyEYLBoDY2NiTJkmaoPdlsdkVcw6tag7ZaIBDQxsaG5vPlsKl6vW4ejC5PJrwx\n1ImwAIUYQoWtrS2dnJzY6U/PEMidl8oP/I6YIvUK8jFqMHgeL2xfKpUMMGHinFfPmxwMTp0XXOD9\npRaVTCatgAr/DBAH+g2CKHi+er1u3h+eIN2mvD7yJorVkHox0ve///364R/+Yd27d8+0FMrlsqGP\n1Px6vZ7K5bIVqiGy0gP1e7/3ezaK3tueQG3pXQ1VS7Lkn5PVqwyDrgF1EHIfSJjwuIjR8RTz+VzH\nx8eG2HEChcNhYxSQwJJLEBp5ZbCAmcmfCB/YtHS5NptN1Wo1BQIBy8voPSG5ZQPz2MFg0KBbku9C\noWB9OWwIr6gh3gyKv3dQFtA271E6nV6ZuMAAZCgvMBgINemX4fBADdV1XZuozQBmSWbUUJ4oVlKr\nabVaGg6H2tvbs8+T/I7yxO7urlzXNYQRxHVnZ0flclnZbFanp6cajUa6d++e0ZGo1x0fH+vhw4fa\n3t42T0SI/EZpOpfaeLwtCMzxXCwWhjZBceHU5kSibkH9hxwE0iUcMWgv5C/Q65E9otmONgemLNAn\nw4cjLZGbw8NDQ83oiKSzEi8A3FssFq04SZcq1KLFYmEhEAgcVCQIpCTOwWDQQj7aHzjR1/7/9t41\nRvL0Ou973upL9aX6Xpe+bs/O7HAlLiGIAkELcEDpg0xJ/LIxIBhkAGvlGKA/kEAMOEBoO4CEOAaS\nwJLhIIYACiIiBQ4VAbHlhaFAoYQYBgRI5JJa74Xa3Znpnr5WdXdV9b27uruq3nz41+/0qeLM7Oxc\na5f9AoPpqamu+lf93/Oec57znOcUCmYAQOSeVApSVa/XraWb2ankaXTSAq3TREgIC8OC7wNAQJLN\nRkX2iu+N1o6ZmRmjWkH+7e1NpoAjDj8xMaFXXnnFWiuYvrC0tKSXXnpJ2WzWQmgm4lEfo337vffe\nswOS9/jEE0PpsadgBgJESFOtVo1py6lOlZpWXbwLhoRIyPDwsNF02Aw0oZVKJTUaDTtl6RXyrQ1U\nvwcGBkwjDGoNij90qdL0lkolA6B2d3ftpIZZQKJNPsb1w5JAAwBKEJuYk9g3wnHoLC0tWcEQCJ/6\nDWEon2F1ddVAAGhChFa0T4NqImLPa3BAcODweU9PT81bM4CMlgNCV0l24DHPiOl90Iw2NjYMaibH\nymazeuONN6zZjo5eSRYKh5CoIVEi4OAEGGI9qgfqauORkjzFFxtxy+l0WjMzMxYO0EEKPwrSZjqd\nNviXtmfaGvb29qzQiUoMCfX8/Lz1sQAgSJcGTTOazw3IcU5PT22UPTUSNiGsYRgAqVRK8/PzBj5s\nbGxYDgargTZkmBIQOXm94+NjM25oMVBYuKZMJmOGgxGxkfAiGJokqxsBXwMUMLUBMIFN6Mm2GDPU\npIODA2ugIxQvlUrG8CZvlWRKP0tLS3rjjTf07W9/W8Vi0Q4Val137tyxVg26WCcmJsyDEbZRDN3a\n2jJpLPqLKJY+6upq4+HkIHfh5GGTc/OlS7oLSSEIHeKGhDRjY2O2saljoC2AHO7Q0JCFaohw7O3t\naXR01IilbJ7JyUmL0yWZgTPJGZYEoSV9+tRxYoz6q7/6K0vkQeFIZtmgHo0j9MBI0um0ZmdnzQsc\nHBxYmwLcMEmWt4BE4S2oQ6E+hOeiFtbf32/eGCJrb2+vacdlMhmrldGKACeOvIqCNlMWBgYGDMEs\nlUpmpJlMRvPz85qZmbHr+uEPf6g333zTSKbFYtF4a2iHw7zAc4ISEqINDAxYXYnPxnrUEK6rjSeV\nSsZrFItFc9unp6c2BlCSnXxDQ0PW4wOqFGM0zQC6OkFjqKGwOfr6+mzEBjkAHDNCNK89wE2amJgw\n9Is2CWoYoEichLRF8B7Ujdjk/pqYx7OwsGB5Qi6XMx1tOGMACjSZeeERaEuIGJ6enlpHaAiJeDs9\nSJJs1CO6CRRwOXzIgWh229rasubCi4uLtvZsT3EiTOMP3+nm5qblb2dnZ6bqurS0ZCRaABEQy9u3\nbxscjzcnt2QuK8VtQnw0GBhj4lnV0qOHbV0NVdNzsri4aPAybnhlZUUvvviims2mPvOZz6hYLJoy\nDZVuCIawEOiDX1xctDHkTCdgoZRJ7cbz24DKYXXT6XhycmKh5fn5udUkYC5TF+GU9x2ZJNHcaI9+\n+RyCDcl7Ii+Fqo2f2wPAwGAr8jrpUsKYAmu1WrXNKcnY2oiZeGBGkpFcKTh6XTVyQRgCXqMByhHs\nDYyeZj5mBQGQwGoAqQRxgwVCnYd7zGF3fn5urAtQz/39fd28eVNLS0uSZGE0RvOJLJJySlCRh3o+\nNJRMguaGffe737XaTghBP/mTP2lqMxQ1GTVCqwC5E6Ecm5ZEn4QWYY/BwUEbTkXOg1FhDOQLAAzj\n4+OanZ21/AUveXp6qsXFRbtpQM14EoiVkEIHBgZMI9tLAccYzWPC9aNORfUepM33BSHK4Ws3vb29\nRn4lp/KyWbDMh4aG2tRUYUhQayOXQgBfkomrwPg+Pz83wUlgcECQ09NTqw3R/sBrcqjcvXtXH3zw\ngRl1f3+/6elB3vX8QymZz4oCDyHx42oYdLXn8YxeRDBgJnP6cerBnj45OdEHH3xgYRvUGsI8PBHJ\nMTJKnGpMDvC1H8io3kMBMXP60uSFwcNM9rUbvMz29rZNsOPmciJzIo6Ojmp/f9+8Fu3i0E1GRkZs\nxg3NX5Aqj46OVCgUrAWAIjNeFJ05BnJBeUGKKpVKWSETCJp8CNhdkoXJMB3QW2DIFqgn8sVeZwE4\nHeYIQIAkCxdpYBweHtbc3Jw1CMI7BFghzwXdBDiiEE1pAiEWCqSsT2zYNj4+bicEdQHyBqruxLzE\n5sS5KH0iZiElBVeSbG9UU1NTBofThs1NTaeTqdTZbNbERmAq0NnJhGlaHTBCCpLwsAjFEP1gkhyf\nAUibOhRhHvUTNg4kSKj28NvwDKioEl6icccoeqB7Tn0Y1cDOntlMxypGCgDCBmRKnCRrSCRsJQTO\nZDKmlBpCMBoNA63IaVdWVgy95Nog7/b09Gh5ednG1BMmgwRCTqUvK8Zo73lwcKAQgk3O857nExm2\nSbLTmtoJ0DTsAmDqtbU17e7umnfiz8bGhsGSmUxGmUxGL7zwgrUfeKF2HyKQsEJ/uXHjhkHQKL1Q\nuyCkYFOTz9BYh1hjuVy2UGtnZ0fb29vm0RDh4DSmcY+WcAq88PHo9QHdAsAgBzk+PrZcgRAVtVNJ\n1ggHlQjREz4LYEepVDJdBDw9NCBKAUC/QO/1ejIDqFKp2GeHoApQAgF3Z2fHuHr09gAgEBoTqpXL\nZSO48jn5biRZ/Y96Etrg1HWIMvi+Hnd1tfFwsq+urpoWGPoEtFlvb2+rXC7r5ZdfNrX/XC6nTCaj\nqakpq34z+QxaDqxk5sMwMgRPRrLKhoSOH2PU2tqaJa14Bt9cBfOakAUEi43gdaIlmUcCuqa3KJfL\nWf5FvsMUAQ4ORAMlGRGVcJDcC2+KRC/GiYGAEPr8oa+vT3NziZw4BxdAA54ErwcQw4FFeAd8XS6X\nrfN1aGjIhvoeHx/r2rVruri4ULVaNaDB56tQi4gYMAS4a3zHpVKp7dDEwAAtent7zRt58Y/HYRp0\ntfFIMqmigYEBLS0tqVpNtBLZlJlMRicnJ1pZWTGO09jYmObn51UoFKy/5uDgwOJ7YnigaOBWevsJ\naWALYHQYBXkOXtHz0Lh5IQR7bGNjwzpE8ZzcVBJzphGwMfFMnNA07oEqYbj5fN7CNEIiABGKh4xb\nZMAx78trQqgFcod5QA0MYirfOZ+dE39/f18LCwuG5JGzQChFopj8C9Y54TCI4sXFhV555RWlUimj\nYkkymH1iYsLarMnP6AUaHh5uE7ynCD4yMqLr168bS57iLT8/DnDQ1TkPm5RKPn3s9KTDVUJqCVhy\ndXVV09PT1hdDvwjdl+QU0GXIC3yvBzcHY6GqzjQ4NggzSEHBuB4ADgq1fuo2NwsFIKR8QbYIa8jZ\nCF9QSiWXAtZFLguemCTLbQjPYETEGE2gw6uTEibxefA+cAljTCZT4GFSqZSuXbumUqmkvr4+bW9v\nW/sIyCcII6EeiTn8O8ARNjDk3Rs3blhrhHRZ1Mxms20GBExPjxBNiOSlAAqATrSJUG/COD+ROQ83\niSR1dHTUinYkf0gU4e5pUyaHwQvAEyMxz2azNsFsbm6uTYN6a2vLajS4dU7HnZ0dDQ4OWgjnPQ2t\nxJyAcL96e3u1uLhow6QKhYKFn5yCkDL5PdrL2dQcBL4pD4YFMDyJdjqdtjZnQiv4ZYRre3t7lmsB\nVY+NjWlubk7pdNpat5kHSx+VDyERowcsoN8IOBgvANmW3BWKE8VoQkXyMr4TZqziLbmHhHPI9hJ6\nA1Qw1As+X6FQ0PLychtLo7Ov51FWVxsPnYqQJ7lpfKH0+ZOXoDBZr9ctNJmdndXU1JSuX7+uTCaj\nXC6n0dFRK3RyMuH+gaPhaHGaUWNgyJRvAKPBC+IqBor0qyQ7leF/0WZM4RTaED0rwKmcmKOjo8rl\ncsZuzufztokwFPSdIVSi3YY3hBEO3Yn39h2q1NW8JLGXosrn8+aFEB+hHkMyTpjH9wAsHmMy14gw\nOp1OGx2Ia9/b29Of//mf6+7du1ZwxotRaKaZkFoQIR/IJwdWCEFjY2NaX19XvV7X9PS0sRIeF2mT\nujxso+gJSkYOwmwWOhPhLEkyGBgDW19ftwIc+QkhAsko7QLUIHDvTLPmeb61ATCDehBxOQ1sqMT4\nRrV0Om0dmsCyQNmgU4RwFxcXKpfLtqn29/eVz+e1trZmpyXekLoNEDOoHXAuTYUxRtt4kkzfm4OE\nAjEekwOqsz2dKr8k87zcL0IlPgOgDoZOCE2eNTQ0ZJ2+KBxh3Hgx6mh0wHohmHQ63TZxnNwsk8lo\ncHBQS0tLFv6CbpKLPU4LttTlnkdK3CrFP0iIeI9CoWBt2Ki9EP5QcYZhgMuH/8RmICzxI0vq9boN\nVQJypnY0MzNjmxb+F0XGa9eu2ZgRqv6FQsE2OOAHg4IbjYblb4gpAr3SBgC03Wg09NZbb1k4Jclm\nFsGepsgKCOJDXkRMqH/BEYRZQA5IWMxmhJUAoRXiK23gXBveGH4fAiQQUdGKaDQaKpfLmpmZMU9E\nr5Qv9MKCplWCHJPDz+tMkMtBDO3p6TERRkAb72086+JxVlcbD63Dd+7caUv4Z2Zm7OTv7MYkcZdk\npz3s6EwmY2AAN5umsPHxcb3wwgtGlWHCG/1B169f1+joqHVm4hWh7/T09FiLNnUOhNGRPoLSAoNA\nSgyApJ0klpDr4ODA2pPPz8/14osvGizN6QqpFeBheHhY2WzWWBgozaCos7Oz0wZmwLIgXGPDOBaA\nPAAAIABJREFUowyEtkGMUaVSqW2oFgca/VHSpS43nxMvTJGY5jjyu7m5OePeMWYFsXZAj+Xl5bbp\n50w0h+xLgReSKHugUqkYfQhj58/jIm1Sl4dtfEAIoPTiF4tFq5lUKhXTKKtUKurp6VGhUGgr9Hni\nIcknTITz83OTowWCpXpPvkPOdXR0ZJ2ntCyQV2BM3kDIhQg7QAfh1HF9VOiBiwklPYGT4iE0HsZ1\nwBwAreP18GJ4U+j+KPrgwTgsJBkoc3Z2ZqAMULL/DHh5EEBJJqhCOAaRdnt7W+Pj4wZ9Y+yEd8fH\nx7p586bW1tbMgzebTRWLRZ2fn2tiYkJMCCwWi9byTf5ZqVTM8HO5nE1UoL3k6OjI7i0HJgXWx11d\n7Xkk2c0E7pQu4+zJyUmNj4+rWCwqhGSiAKMuTk9Ptbq6qmKxqNXVVZMtoq2bEwoUC7V9RpYQpuzv\n79tGRieAIiBQJ5B3Pp835AkEjSFMdFSiD8Dm4QSFgkKoSN+SV/nBgw4ODmpjY8NCVvIqXgdPRR0H\nhvXu7q6FbJLaDF2S8cteeOEFMwyUPwE+CAnJ6di4iHRgqI1GQ+vr60btwTvxvPn5eRNm2dra0sjI\niPr7+43AOTY2plQqZTxAygGEozFG4/aRO6H9vba21iZ+IsmQSRBcvM5TRdtCCN8KIWyHEN5xj/1G\nCGEjhPBm68+X3P/94xDC7RDC+yGEX3SP/1LrsdshhG88zMURv0PuY/Q6VIulpSVDgyQZGZAaDTd3\nZGTEmMCIY8AYAFzgpmMgk5OT6uvrM69GVRv4G3le1HVSqWSYL+EFlfu+vj6rjDMjqKenx4y0p6dH\nxWLRvBj1inw+r8HBQc3Ozlqs70OUkZERq7KHEAxsAMSgbZu5Ql7SlnCQnIiaDo1um5ubdjLjPTKZ\nTJt2A7UmWAOd6BXsjRBCm2JpCMEK10DfSPICZjAqBaDn8PBQ9XoyrXx4eFivvPKK5VaEiyMjI5qZ\nmdGdO3esedE2eWv/kL/5WtvTDtv+d0n/m6Tf73j8X8YY/4V/IITwaUlflvSKpFlJfxpC+FTrv/+1\npL+lZIz890IIr8cYf/igNyZ5BZKkRlEul+2mYCwkpUCvktqa05DbpQJObgFPi5tA4s6pC1jgq/Cp\nVEqLi4t2wq+srLQV/mZmZszImQVKkg/7+PDw0HIRpHj5zFThyQN4jq+p0AeDnBbGTVEZz1YoFCyE\n8SEryBct3hBOMfhqtWo1F3h7kHJv3ryparVqG5RNPzExYbN4Tk9Plc1mjcUBmRS+2bvvvqtyuay5\nuTmDwQuFgkUM6DHgbYGcY4zWHEk/0sDAgBYWFnT79m1TTiLfZG8ga+yBhcfxOtJDGE+M8T+FEK49\n5Ou9KukPYoxnkpZDCLclfb71f7djjEuSFEL4g9ZzH2g8JOYk1IQHhFEYFfDp1taW3XAQGbobeZwe\nEsIaZvOUy2Xl83mrPdD3PjIyYicefCsMI5/PWzF2bGzMVENBner1ulZWVlSpVIw21Kloie4ZISl5\nFhsdWlGlUjGFHPSsAQ2A3blWxnmsra21gSa0aNCwhnf26jc7OzumW0foxsAqKE3UdiBpUoTe399X\nLpczWgyNg+RdFFWJJqampkw3rr+/X3fv3jWPhBe8fv26IXKwJMi/yHf39/d1+/Zt491RY4MuBNBE\nbipd5tOPsx4HMPh6COFXJb0h6R/FGHclzUn6C/ec9dZjkrTW8fjfuNeLhhC+KumrUkJfgZ8FiiPJ\n2ARQNkiY6WeHG0WYRvJKh+X5+bmRKwlZIChCqiTGBsXhVKTaT/iTz+d1fn5u0ljUHbxONuM7fN8L\nJz3ekKp6rVYz7QCut1KpWBFyb2/Pqu1sEkn2+mxAGARsYnLE3d1d5XI5ox7B2oa3B2ACKgmkTbGS\nuhRhNMaOd2XMCmgiIAGcxIGBAd1tjQrhoKrX6zYdj07Wvb09C5kpCeDZYXBA2B0cHNSNGzf09ttv\nm9ehb4kGO/T6PKvaE0QfZT0qYPDbkm5I+mlJRUm/+VhX4VaM8Zsxxs/FGD8HmfHWrVvWM8+X57lJ\nx8fHRqkhd0CFBneNwDrySRTvzs/PVS6XTaKXDYHBQSmhSMpkAEQ2qMkQRoEOoUcgybwkOVRPT4/F\n/bAoqF/41gLCK7hyhJGNRsNgeQAQwAj/HBoBpaQ3Cf6ZLw7CvsZDSZfFacimhMcxRi0sLBh44RHB\nXC5n/UQcAvRjQdPx10tBl+QdlVPCW4i9ePitrS1DyZrNpnXizs7OanBwULdv37YQHi9LnkfOSofs\nkzAc6RE9T4xxi59DCL8j6T+0/rkhacE9db71mB7w+H1Xs9lsC5d8cdIr5EACJNfp7++3eJmedk5f\nTtC9vT1rQoMTBa9MkoETvD8bjDBmYmJC1WrVqtVIXxGiQP2JMVpDHhsKg67X65qamlKM0ZJq8i1o\nNYATnMAwwjEw3huwIZvNWi0GD0GoRg4I0DE2NqZqtaparWZFYdA/5HPpxoQKhYH7Tlkv9+WluOjR\n8VQa8kdYAXgtEDaACgiodAnjacib8Kocei+++KJSqWRu7ObmpoFIMCQeN7+513okzxNCmHH//NuS\nQOJel/TlEEI6hPCipJuSvivpe5JuhhBeDCH0KwEVXv+w92FzUGCkwEbvCwVJSaa35sU+gF459SqV\nioVy09PT5uJpU+Y1ms2mstmsjUrnpsNBgylMXYiNcfv2bfMAXuxiZ2fHaD4xRhu3ASrEMCwSWS+N\n29fXZ+RJxqUDE1On8Rw2z6Uj7qdu5NkE/A6HD9oHkEBhLnPakz8w7h4PwXsiXsJrYMy5XM64en19\nfTaRG09N4g8QRJ8UKBuik1CfuI7t7W2rvY2Pj5saz8TEhPEhAXHIyfzy+c5Ta8MOIXxb0s9LyoYQ\n1iX9uqSfDyH8tKQo6a6kf9C6oHdDCH+oBAioS/pajLHRep2vS/oTST2SvhVjfPch3ttIhtw4vgRU\nVSRZhycFOz9AioQYegdJJc1SbKqLiwvLBSRZfw3oE52U1Em8IAUVeYzZkySlpGuT64Oz5r0NrAGo\nNhQ5OVVBA2ES4FHJyag5HR0d2efxBFVem4HGwMx8jxwyEFuz2azV1QivgOnJ19jcUHcgeOJpvBAJ\nrAW+20qlovHxcQNkEJzHw+VyubY2AzpgBwYGtLW1ZXJfg4OD+vznP6+33npL77//vsli4bE8sga6\nxs/+z1MznhjjV+7x8O8+4Pn/XNI/v8fjfyzpjz/KxUEK3d/ftzCCfxNb06dPHwrsa9AgqvqcWhTP\n2ICgWvV6Xaurq5qfn7f4mufS0UmBEMoOBsRGRKsAjtjk5KSFjVTLy+WyTTJgRAa0lOHhYRPtQN+M\nehAtB3w2vxmAkpmaAExLbYO+HUAINOF4356eHpN68o11hM1A1CBgbEgpUaUZHx83w+L7BrjBs1IK\nwAgASQjZCGkJKyVZ2Nzf32/KrXSwDgwk85d+8IMfaGtry4ixgBO02ON1uOZ75TqPirp1PcMAlRrq\nMyi+AFsvLy9bxR+yZT6fN0EPNg9VdjZEtVq1TUnTFTeJcIMvdXd311CdyclJ64QkRCHZplmNCc0Q\nWaGneG+HDJaXAvajMZCWgrqDBgDehq5M8g0+m1eKAdb1MDh0pNAS4djb27MOU4wDTw1ShQemmOzz\nMGB08kWSc0LE9957z75X7tn29rZ9h8fHx+ZVyU/wpPl83pA4SaY4xDAu5rgCjsB3pExBMZ2Q3BuJ\n57V9Io0HPhtx+ujoqCW2mUzGMHuq73iC7e1tK2ZSsKTeQ75EUZEk+tVXX7X3hPpPUgtxcmdnxzYq\nqA61CyBWQsDj42OtrKzo7t27xnxAg6Gnp8dQPAxAUlsj2fDwsCYmJgwtovZycXFhI1ckWf4ANYdD\nhjyGnANggnCQeaMYK4zvEJIpfFCZ8P4jIyM2eYIeItRryHXICSnm0hFLODk6OqpSqaRPfepTNsEB\nD+fbtclz8ZTcB3JZmNnw70A2IX/i/fhe4bVh4E+iQCp1ufEAN05NTbUNzJUueVnMCKWuwNgNWpIZ\np9fb22uP0RNCKNPT06M/+qM/Mt22arVqhdHQasADjIBEiTgfYdP5+bmBApKsdkK1nwIn9ZnDw0Pz\nfn58CCwGVGfwasDaIYS2nhvgV+BZ39AmJbwxxtN7jQWIprROLCwsWG0nk8nYaxJWVSqVNoOD8YHn\nlC4ljxFUoZYzOjpq1wD0vbOzY+3RfGYM8dq1azYrCLEQwllaQAjxUAPigOVgBP73nti3WTw3qPpZ\nLU4+Yn3601FMoasTBjPtydDo2QzoN9MpenFxYX02QMq+n54CJrkH4Qg1lM3NTWMSSLL4ngSdcHFy\nctKY3oRJGBQJPZuHLljaMBDuIwfI5XLWicpIkkajYacyOaF0qcZDsZeGM8IxfgeYHkpNX1+f6RkA\nW5NLUXhldimfgTyDsAv2dm9vr1ZXVw26xqAALGq1mkHsi4uL1gJycXGhu3fvqlAoqNlsmva1JNNr\no43CI2rknXhk5iZBa5LUZkB+jz1q2NbVxtNoNGzECLGyr4WA/UNLJydA342k3LdRAzTwZVN3gRJC\nrQRhRAp+IGghBM3Pz5uRxFbDHRuH4iLeaGZmxtqZQQUBQKTLqddsRhgQwMg7OzvWwiDJwhy+AwqY\nhK5sfoyfxjtQMKBsT4TtnG7Ad+wFQNCz41DiEIChcXZ2Zt9tCMm0vK2tLfMMR0dHVms6PT01yg9t\nGUDf3iiKxaIkWT0MjQMOjsHBQWNf0Gl8cnJiLQzsDw8WdEpNPU741tXGwylxeHioubk5+2K8uB75\ngSTjZ9FZub6+Lkl28vIF+pgadAk6BycnsT9MYh9akYzy++RAXC8nMSgeyT/1JOBX2p+9lwHOhZ+H\nN4JehIgHjGSf/2H05CR4G/p3JJlhnJycaG5uzgicUIwANmjr4HvlOyMEhrVBkg4bhIL1xsaGTaCj\nxQLBFdAvQmFKDkyhIyrAU9briTgiNSia5ciDyKuAtjc3N62lnkOScI3D5UmEb12d84BMpdNplUol\ng4w7PQnJMl9UPp+3Jjiq3VICJTebTUOb+AIRUc/lcpqZmbHk3+tbV6tVq77jBeiXIZfy1BpgWCDj\nwcFBE6Ag0eW1EGnkVOZxCJijo6NtSNT6+rqpcR4dHVl9xnP5YEPQHUoICz0fXtnx8bGROwkJ+X5z\nuZy+8IUvGH+vXC7rWmu6NiAF4h000h0dHZl0FN2tQNcYAQn84eGhIZ3U8gYGBqx4CrcRtoRvoZcu\nu1bJgXZ3d+0g8wwM7jNRhF+PQw7tauMJrc7M+fl5EzanNsEENGJwyJpevAK6OrUIknZOdJJmdM/o\nuZFkaByQN8k2p6YkqztMT0+b4QBLk6h6rpwXDGE0hiQb+whruK+vT9ls1ibIEdZARkVpp6enR6Oj\no3aAkCPUajUVi0UTAkHzgfYISK4gjZVKxaZ/T01N6dq1a5brvPfee8Zy+Kmf+imbpgchlM/LXJyF\nhQW9/fbbxuQuFotaW1uzgwSPCil2Z2enTe2n0WhobW3N7tf6+rpJ8gIwzMzM2D1iXhF0I+6Zzz0J\n1XzBVHp8yd2uDtsoklFXqNVqNmOU+NnDuJAVj46OLEamOY3TH02zjY0Nq4Uw/ZobxnvRlwIUCkzc\n399vzAeKp3DYYCKDamGEIFvkV5yWAwOJlO3k5KRB3RQ9oZ9AqASA8PkTn4vwzyf9foQk8Ha9Xtet\nW7dMFBLmMf3+krS0tGS8s2q1agyI5eVlo/dLsvqbb0bk+v0sJMAQvit6rNDAoyepUChYLe+DDz5o\n697lAKrX6yqXy6rX6/aZyGsI2wBhgO2JSKRLg3kcoIDV1Z6H5PP999+3/hJJRs/Aze/s7FhzV19f\nnxYWFmxz9/f3a2FhQRMTE3aKQ5snTKKPR5IhSqlUynIejKfRaFgfDbkTIV46nVa5XNb+/n5bWIE3\nAf717dSc3IRpxP50uhJSIqbOZ8tkMtZyAdeLIqEkk/UlF6FdgUOBiQVQkKanp429DakU9VPIt3S2\ngjpS1D0+Pla5XNbq6qoRUK9fv66hoSELuz7zmc+Yx5dkoSIa4vD1gKHJLTkIKRpj/ORipVJJh4eH\nKpVKBhRxMEkywIf70JnfPG6tJzyu9T3NNT09Hb/2ta9pY2PDWqmlhHeGl4B7RX7i220pTJIvjIyM\n2KbAMD16xE0BkeIU9TkTp+v6+rpmZ2dNsor3Iz+AydvT02MqMIRsPBdEiA5ZPBr9SoAHPvciNyA3\n4UCgNoRsFJ+NQqF0OTKF74wQzMP6gAlA0+QyyAB7vhglAympr+3s7Nj1QkvCKwwMJFPDART4LtPp\ntCYnJ7W1tWW1qMPDQ5sxS9EUqo/Xf0MYH7CD51EH88gdxWByNQzpPvv/+zHGz33Y/uxqz1OvJ4qb\nMzMz9qXAoiWUYcNTE0LpZn9/XycnJ3YywkHzhUUY0ECshDy8FgVZuFLw0tB/29zctDoHbeD+ZscY\n7XQlRIRWA7/MC1XAXpYuqSjQ92kLp5rPFGg+OzUZCq3w2eh/onWdughsA0iilUpFfX192traUqVS\nsXZ0wk4Ip2jgYTQxRhUKBW1sbBj7A4ACFdbr16+b2ii8Qrh8Z2dneuedd6wLGGIqoSGQPWE59CRy\nVU/CRcOB8Jf6XGcPDx7nE53zdA5pAt9n3MjAQDIVgFmcUEAIKXxvfLVaNaYurAAKcEtLS6bWQp7l\neWogRuQskiw8Ozk5MRibU25iYsJuFHAx8TcIGGEfxoOn4WaDaIEOobVGuJlKpczznZ0lQ6vg5CEU\ngiGm02mjKbHxgLA9QZa6CweMlAz9ImeCnIlHlqTPfvazeuONN0wrbnZ21oABRA454GAAkCstLy8b\n2JPP57W6umq57OjoqCmN0psF6MB7ra2tWWgGzI7IJS3XhMq+OOpJtY+zutrzNBoN5XI5XVxcaHJy\n0mbvzMzM2OiMs7MzkzU6Pz+3TcQJi+gDI+HhWx0cHKhcLmt3d9dqKHyp0D68GqZ0icCRZLMId3j/\ns7MzmxvEaR9CMPYvLQdMlIsxGmUIBVM2OPwvBM5B9WJMRAhhWNNWAAODnqFsNqtsNmsa16lUylRn\n/IgP4HByM0Y4rq2tGbDAouP24uJCb7zxhimRcuKDnhFWgvTxmhsbGyoWi9bvhOQUBV9QMzwjn8f3\nb21vb2tyctKiBnJAciIaGAk7CY09I/xxV1cbDyELwnXkBP39/ca4ZeMeHh5qampK09PTRluXZJA1\nzAHgYZCZa9euGZ2H/hpyFdqDSVhpWtvb2zO1UryDl6kCcoWr1d/fr5GRERPHgNZPJyYkTACM8fFx\ny7PIcSRZyArlJpvNWi51cnJitaP+/n6rSfn+IJC+kZERQ70QLqlUKm0DhMkTCDmBxWnrAGBBIYjv\nh9cNIZliAQdwe3tbH3zwgYV0FFUpEXgGOu0RuVyubUwkTYyEcITlBwcHVobgwINNAJqJ/LLv6Xnc\n1dWAwezsbPzyl79snoMTHFeNUTDnhpCMdm3QuBAS4fGVlRUbmkT45ZV0kIH1zN7T01OrG9CNynvz\nul4KSZLRa/AinIYYJQqmQMRsHHpcyG0kWUhGzgZQwndBYxn5CtrX0qXmGsm7JBPI39/ft01fq9Xs\nmjBiDIZw1AMSPpSk4p9KpczrgnDl83kbeenRMjw4nDdEISm4Ej7DgiZ8IxwcGRkxERFEUcjxuDbQ\nOrz16urqj0hPPWA9FGDQ1TkP8GmpVDKqO4VT0CTELwjHOO3S6bSmpqYMoanX69YABv0EtRz68YFm\nOcnQGkPxEkRIuhz/nk6nlcvlVCgU9N5779mNIQYnqSeh39vbU6lUUrPZVLlcVi6Xs9cCUYIUmU6n\ndffuXSvQxlZ7MzkZxUaa5hYXF+3kp0bE6Vuv103mib4kuHggkp7GBECD4aVSKSNwNptNG6kiybpa\nvawTYeCdO3dMzpjisSQTnIfbx++WSiXNz8/boUXEUa8n4vuSLGyu1S6H92JoGBRk293d3R/pIH1S\nq6vDNk4JQg6+JBAxtJchNoLvw3laWVmxnAAaDM1dnJgkyIODg9rd3dXq6mpbJyWQ8srKiur1uoVN\n0PHxWqVSSYuLixbyXL9+3UJBCq6coL41GY/g28thOS8tLZk39SFJX1+f5ufnlclkNDk5aX0/QLDp\ndFrT09NtPT94RpgJ5XLZkKrNzU1TUqW1olQqWRt4uVzWysqKPvjgA42PjxvaCOPCw+IAHYSmjUbD\npl4DF9dqNbsPRA/kkDdu3FCxWLSQjHpYNps1mtb+/r5FCXShAusDUuDxeV0AjidpPF3tedg09Xrd\nWLmEaBQ9ueH0zCB4wRAmEBpOeti/0GUODw+NGg+q19fXZ0LunGTAsSSgeB0oQ5A68URsToT5+D+S\nbWJ5KuWSTJOtUChIkl5++WXbDLCxe3t7TQSQlnSUT6vVqvXz0A6OWCS1Ha/Iw1AqSW1IJJ+ROtnW\n1pY13b311luWe9LYx8Yl1MMT4rU48AABkMaCvweHUZJ5IVgjU1NTGh8fN6aEJDNUUEnuEVxDDgU8\nKO/1pFdXG48kmyBGAgj15fz83EiFnLogL/R77O3t2YhFiJ5TU1NaX183zlomk7FiYKlUMsIkJxqF\nPo/8+RCLDZzNZjU1NaXd3V2bjCDJYnIQJJjVtDVDSgUA4LDgM8FoIEnmIADRkmQbj9YJBDMIkwjJ\nUAMlN+MUph5DWDwyMmKtHED1nYVFipQXFxe6du2aCbRT6KTlAKEQSZZLUUSmzcHD6nAVyVm3tra0\nsLCgi4sLuz9SctDQuMj3TBRA0Zd7QIngSXHaWF0NGMzMzMTXXntNkqz+QZ2CE5Q8gFpCPp+3L1+S\nAQZw1hBwpw8FIKBUKlmPDZPKIE9KaqO4T01NGTNauuzJgTFAzz99K75nSJJ5RE59jwwCnQP1EoaR\n3wHDEgpKMmMB3fPiGxwC2WzWvIp/DT4fLQCAG8zSYXqEJPv+aN+gvrWzs9MGv5NXxhiVy+XsWjEu\nknnYF4S2fFb4iEDd5IXvvPOOXTd1Mg4IwvMYoxkKAIU/jPieP2R9/BkGfBkU8zqpIcCqtPFCRjw/\nP7eWYQ8ygAiRS9A8BvsaDTI0qAk5gFPp5SdMwAP4xjTicJJaoHY4WH5wL7E+ghYQTPl/BDMqlYo2\nNjbsBAXQgIbPBAPEIGFVkGPAPPDTGhAplNQmQ+wLqBgNCCXjKynmAk1DMvWvh+QXxVJmvVKT8YwP\nwklqTEDoHDbb29tKp9N68cUXdfPmTStO+1obLQ+gpV5Z6GmEbFKXG4/vnWk2m3YDwPGnp6fbWo9B\nXqBweGVPngcSRM4DqkPTXTqd1vr6uukjM9WN9gOKjQgHnp+f686dOzo5ObEkG203CnUAGAMDA3bT\nqXhzGHAqs6nQbtjc3DQY3YeDgAcwqjndCV3GxsbMowFKkA9IslwBhIrDB4ic75jp2r7TFYCFYire\niyIvEHd/f78hfNSzarWaETgxVhoO+X88Bx5pc3NT3//+93Xt2jXLiQhLm82mweB4XN/Vy+H5NNC2\nrs55Ykz0BEDXZmdnVS6XdXx8rFwup2KxaFVxuGgkodRBSMIpTpLcn52daWJiwjYJSFpvb69Nlhsd\nHdWtW7fsC8cQyD9AdSYnJ43ZTY0lxqi1tTXTmCbPoUYEiNDX12dkUOj0MCQQAwQG9sRGz34gpyEH\ng65CjrG7u2s6ZoAveACvNkMbhN9gwL20BNBkBkpJywRhtPfi9CABPnhIGeUgH3pKMvoP1wK74PT0\nVLdu3dLU1JSazablOuSQIQSDrvmefO8VEczjdI52rq42HmoQo6OjNg8GTWjCBDYgzABJVk3e3Ny0\njUZ3Jzfdc69SqUQ8cXh42CDQ3d1dbWxsmFImNxDP4Yt6vrYCVYWNjHFIsvfmNOZzoFs2MJBMVkB9\n1DOMae0mzifEoReGFmNCNQAU/k3xk/4ZH2qigUYY5WsyniZEy0e1WjXGM0bHd+kbBl944QVtb2/b\ngSapLbykYEoDH/UZwmfavPG8xWLR6nIURHmORxY7RUGeNFDA6nrjSaVSpuApyeBUX42HHMoJl0ql\njBUwMDBgY/ZowmLWDbJLkiy/oNeEfATeGBsDBjWtBJz8wN6QQCVZ45iHvAnPPHt6bm7OdLOlSwUY\nUC1oJST+UGFAAukRoiDsO2tzuZyOj4/No9EOAPiyv79vRWcOFJgHDM+i+Mz3hzDJ9PS0FWBjjMYh\nAyHd2NiwcJXrg6nAYQGsz+hEQmLeS5Llu1CfgM7xZEQZ3C+vEMr36P9+UqurjUeSxsfHdXBwoJ6e\nHm1ubtqmlxJ5odnZWbvhIEaorPg8gRZkOGbE6aVSyVw/pyHhG3+oZayvr5vXqtfrKhaLpplMXgRg\nwI3ntdnU+/v7ZjiElIAB9PFwCkuytnM+I12nh4eH2t/f1+zsrIEQ1J9OTk5ULpcNSMB7IglFKAXg\ngUFIMm/nvSe/S06YSiUjRRYXF7WxkQy74DUYbMVGRVwFjTpJ1v5BT5Ekq3WBQgI+EI7znQFuHBwc\naHx8vK3BDkaEF/bobL1+kqurAQNyFiBaaCQUGbPZrE5OTixJhUYCNYQT8KWXXrLNS0sxIAKdlQAC\nvCe1AiBQP10NpjSdkiSsLDZQLpfT/Py80YQI0Xg+IwvZ3JAdJRn6Bs1Gkol78Lm8bgOnL71Lc3Nz\n5hHxTIS68/PzbfC+h+MbjYb10wAHEw4hZAgUv729bd8PlCHa331THyEVrwOyBwudXIXPx0HHHqCH\nCJCHsJXyAPA36BqG4r3P43aN3mt1techtEDsjvjWq9j09iZ61cDVhFMMhvVqMgMDA0bAJPSZn583\ndIYbE0IwlReYAQAJhE8UJtkYnNawgXt6kkG9bDi8GlA4wAFoFnmU75QklidMZCNTePS1EGoffuMV\nCgWrowCdox0AAOAnOxweHtoEcLhw5BC8J6EiRcrZ2dk2z3l+ft4G2WOYGAHCLVtbW3ZdFkN/AAAg\nAElEQVS/JNlz0b1DRouDA49J4g8RGK8EEEFDpPc2T6uW2dXGAweNMRTEuNVq1U5zoOTr16/b6cIN\no9ZB3wwtC2zyvb09MxLCAmRagYslWRs4pz1QODcIrQFOZA8y+AYupkrDhB4aGmqT0fUkVNAqNjGv\n3dfXp3K5bGIjQL8YNZ4GKL23N5G8zefzunPnjnVbkpj70ZQgcwzgRamHw8WjfchMeY8CAAIS6b8D\ncr5UKmUabEjojo6OtvX3+GIzgAUsEOB99gcGy8K4PEjxtFZXh20Uzsrlsi4uLjQ+Pq4Qgqanp9Xf\n36/FxUUtLi7qpZdeUr1eN2BhfX1d5XLZGMJHR0ean5+3btKVlRWLu0dHR61/hmIdohwIcrCBUqmU\n5ReczufniUD58fGxKeJIyU0kpIFXR2PYCy+8YG3WlUrFqv5sFF4DcqVX/fRKNPQ5gUDSBYsH6+3t\nNXEP4PWxsTHNzMyYFjSQ+ejoqEIIhiL6viYgePhtwOGMO6QwiSAloZ10qbtAWEr+iuYeLQeMV8GD\n+a5WwjGPqEkyoMIbFIb+EdgEj7y6mp6zuLgYf+3Xfs0Y1GwmvA0xMzwqSdZVeuvWLRMelC5hYk/v\nh+ZDbw5Js3SJ6tGNyO+TqxDGkB+QL/iCICKLpVLJQrVMJqNSqWTER4icQN4gchBUofn4MIviLvN/\nUMk5OTkxGo7vwhwcHNTi4qIODw+1srKiGKNx+kjcG42GtWpQq5qamjIvCu2Fkx4gBAIoQh8TExPa\n3t7W9PS0HQx8Vs+qABSBfMpnojCK5/B9VaOjozZmvtFo2PWAxHlmeSdM/RHXk+nnCSEsSPp9SQUl\nk+C+GWP8VyGESUn/l6RrSqbD/Z0Y425IYqd/JelLkk4k/VqM8Qet13pN0n/feun/Mcb4ew96b2Bd\nJFQltYUT0EeojiO3S2u2JGP50qUJ3Oyr8V4a9+wsGX+OF9jY2GiTXOJG5fP5NoPmRhNzky/R1Qo8\nTZ8RpyOGSbuz16IDPGBgFZ5hcXFRzebljE8Min4XKEFjY2PK5XLa3t7Wm2++aSEp9CMMR5LlgqlU\nykCUlZUVTUxMtNVOhoeHTQxEknkt8g2KpLVazUADwBQOHXK31p4w5AxCLx6FgWW+74r6lPc6nQby\ntHMd1sOEbXUlo+I/LelnJX0thPBpSd+Q9GcxxpuS/qz1b0n6ZSWzSG8qGQn/25LUMrZfVzJC/vOS\nfj2EMPHAN25Vw0l2x8bGrG+d5jKGu5KHIF3LSV6r1TQzM2NGQxLO6/sWBbwLoQhhH2EDZEjCRxQ8\nCRW4oRAfgYphB0xMTNgpjbwT3mx4eNiADnQA6MHhc0HY3NrasjCPblVyEGoc0H9QpanVatrY2DCA\ngM9FERXjjjGh9YM8snERF8Fj0Arur3tsbEyzs7MmM0XoCGGVcAuPyubG+GBAMBQ5l8uZ3hv3g/vG\n4UMEwSHgQ7anvR5mrGJRUrH182EI4a8lzUl6VcmsUkn6PUn/UdJ/13r892PyzfxFCGE8JAOAf17S\nd2KMVUkKIXxH0i9J+vb93tt3ijKrxTOQJyYmbGwfklOc3jSEHR8fq1gsamZmxpJiiIaEBoiRAzgg\nfE445ivpPT09hhRBcUHCSko2BkqWGIhPyFH2n56e1t7enmm6SUkNg3yC8JI/Ozs7Bs2DeBEiIlTI\nvNJms2mCI9Bdms2mpqamrOeH8IaWc7wECf/u7q4+9alP6c6dO3ZY+dmh5IfkN4RWKPx4ag6bG2/S\nSepFFw6GAQ2F1JpgG3g4mz1AqOZ5gvzf014fCW0LIVyT9FlJfymp0DIsSSopCeukxLDW3K+ttx67\n3+Od7/FVJR5Lo6OjWlhY0MHBgfb39w1qpghI0TOEoGw2a0k5NHrChUwmo42NDYUQdP36dWMYY0DE\n7fzs6fFoDBBuwPiFoQycjuFRe8EIQO7YTIzlIIT01CIACfh3bCiKvLVaTYVCQTs7O0ajoU0bbwcd\nCcRRumwBb32/xqzGA9GQBywPP2xra0uTk5NWIkCVE21ovGij0bB+JfqB0H0DoYPdDD2Heo4kGxNC\nkxz1Ly8ET42M1+30sBwGzzKHf2i0LYSQkfR/S/qHMcYD/38tL/NErjrG+M0Y4+dijJ+jU7Snp8do\n70i8ctPpSbl9+7ZBu9Vq1fpYjo6OtLu7q7m5OfX29lpFfGRkxJA2v4kpugEu0P4L5Yd2auoLIEDQ\nh4CLq9WqFTCr1apx8I6OjlQoFAyQwGjglkGI5LBgA/J+IFIeCfOcNr+p+D9anmEk9Pb2WqjE/FT6\nm4CpyUXgCRIqMUTr5OTEOl57e3u1ublpnhY2AV4PZgUe03fUQh2Ce8j3EWO0+bB4bL5PQtbYIqr6\nMPRZrofyPCGEPiWG829ijP+29fBWCGEmxlhshWXbrcc3JC24X59vPbahyzCPx//jg96XmBzYl5u7\nv79v7FrIjPPz80broDaCltju7q4V25hIDQpF5RxemkfchoeHbWJZKpUyKg81HUnmschrpMtR9tSi\nqD0AUhDmkLNAf2EzkGTj7YBpqeXQeUmdiDCMjQ98DgEVoUVkmGg4oymQ7wIuni/ehpZ6Kq0evO/p\n6anNY6VuJcm4cDA+oMyQ43g+nSTj/dElTGSBxh3jTzgAOHC86ufTpOA8aH2o52mhZ78r6a9jjL/l\n/ut1Sa+1fn5N0r93j/9qSNbPStpvhXd/IumLIYSJFlDwxdZj9118UbQhoAKKtyBZPTk5MTV/Ks9n\nZ2eqVqvmaWAmE/KwAchFZmdnrReHk4/kmI3MJGxypGw2+yNhG2ACRVhCTQzBQ+VA0oRmPrTprJxT\nU5qZmdHY2JgkWbgGu5ycTJIxj0EkafeGyQDDQboUxwBhJAfzqjpo1lFzAsYnpKSHB0CFAwnZY9pA\n6HOSZIAC+Y2X+5UuW7KBofF+/My/Ow3nWRnRw3ievynp70p6O4TwZuuxfyLpf5L0hyGEvy9pRdLf\naf3fHyuBqW8rgar/niTFGKshhH8m6Xut5/0PgAf3W8DMiIOnUokaDRoDvkrNCY0xEZJQy+F0YnOg\nUIMRlUolI4QSFlIw9LrPCCSymfEKaJrhCTllJZnyTa1WM/25GKPB41CD2FSdSi9ssLOzM5VKJQMr\neJ1UKmXzfuD3+aluvi0DKJw2Cug0AwPJ0FzkoPCGXDfeBESSDlrgZdpHkNNdX183UicHDu+dSqXM\n81YqFZsXxABejMX36EiXk7slPRPi54etri6S5vP5+JWvfMUSyZmZGUOVPFmyXq9bEsqmIszgZgIt\nn56eamxszNoYZmZmrJ7AwF1qGRRCSaI58YC2Ly4urNAJXQf0hw0IRMtJeXh4qImJBKGnR8b3ysBr\no+cGVI36C16pUChYqIkxU1diAaJQsIVpDgxOzYzeIAwKvQUQMYZvUUQlqefzs6FTqVRbXxVwNUgZ\nBwsgAsVYOH8YG12m/KHtmpCWsNaHuZLa2NSPuT7+ooc0SrGZmTHKl0dYQdKeSqWsvrK2lgB7IGqc\nZPTv5/N5HR8fq1KpWMGV/+Pxa9euWWFvf39f09PTthHYaEDktCRLSThSLBaNfrK/v698Pm8zVaXL\nyQYYvI/hCcXI8WAvQAIFeQKqB+igCAr7AiKl71YF6pZkxWO6TmmF9jkW3ZwbGxuamJjQ7u6uBgcH\nbXYRuRQHByEzLAZfR8MY8IxTU1OWR3JPvafxdTO+M9+304muPav6DqurjYfCGKcbJzOwKaEUN4lN\nAhRL1ySwJ8U9Cp6EWsz3zOVydvpRY4C3dv369baCZ6PRsA0JNI2af6PRMOOs1+tGRMWrSLIQp6+v\nT3t7e0a1gfvlDYfxg967UECWZL0+IHkgftRHKHqS0/T399vhQm0lxmgDwQjhuF7oUXhUXpNrZSMj\ntg/wUK/XDXTAO6EpAC/OaxkApnAYwWPj+jz9pjNU4znPcnV92PYLv/ALGhkZsRh5fHzcTq9SqaS+\nvj7rKGURGkGiPDg4sLyjp6dHGxsbdoLTaIYXyWQyRi+hMWtiYsLgVvrruZFQaECkuNnSpU4ZI90x\neCBcin7UlBAAwbMxAOrs7MxGp8AEAFggp4MZIMnCKwq2aFbzHQIBw9Sm7ZniKGEodTI8AQCBpDYP\nQ65J/YychoOLIi0ACt4Oo+GzeA/E30QNGKgP3Tw95wnv44+/9FQIyRxOEn9cP5sHxAvOWIzRwpa+\nvj7rNMRAoH/Mz88bsXFqako3btxQX1+foVhA3VBOUMlBZBylTbo3gcSp+DPuAySIGg5oVLN52cEJ\n7IwRkIsgzgF6hW6zJFOvwZtSZCQnonJPXgKZ8vDwUHt7exbq8n02m01D2GBXg3T6HIYCKNpwED2h\nENGaweanJR0jhHTqvSYGwvWwMAhCsWdkNB9pdbXxpNNp3bhxQ5KM7k7Fube31wp2oETEyNRCCMvm\n5+dtUzI7h5Zlfpd8ghsCsjc4OGjNbRQa6Z8HQqZoOTQ0pMnJSeVyOUmyRjj4WWwy6D7kLqenp9YP\nQ9GXE5zaFXK4cNNgFEBS5X3m5uasxnNycmJet9FoWPs5o04IDfmu8LY+h8Qjkk8eHx+rVCpZTQZP\n7PXykC0eHBw0qVy+p1qtZp6PEJuOXT4r4dr9Wqq9AT2PcI3V9TnPxcWFZmdnzQtRnOTEhioC7US6\n7Punj4UKOrAp4RRkUWpHJNhoEgCfMgwK2kmtVrNaBnULZmuyAWBTn5+fa3t721Qvyb8w1nK5bJsM\nj0TyTijF5iC3Ivcg8afYe35+rtXVVQvJfIs4IU+tVjMxD67T53IossLK9u0OhLmEtnxvvgMXtkRP\nT48N9yLs7uvr0+rqqrHEPbOc0A0aE94OMqkngj5PkMCvrjaeRqOh5eVlFQoFU4KJMdqoQmghbFJi\nb050T3pECYafGeYEcXNra0sxRl2/ft2my3HD+ZsmLX4mht/a2rKefk5tionE//QbMdFAUpuEE2Ii\nGDM5EnnV6OiojYfE6Kk1+TGCaE6TuEsysGJ1ddXyO16bNm0Sfg4hCrBsVFRvEDkE7dzZ2TGDor+m\n0WgYqodX7+vrsw5S6lu+psN3ymMYS2dbtSd+Pu98veuNp16v22lFrcBrGedyOdtQ5+fnVkkHduWU\n7u1NhmDR85LP5y3vIEkHYYMSEmMixA7AwMaGgY3RQk3xCS/XjtA8mwFqEK3DfCbfZgErAC9FyEqn\naL1eN9UZvLPXOuB38aTNZtP6YiYmJkzwnTwPCeFSqWTtBTCoocVQ9yK04+Die4JDhweEyMr7QFXC\n0Mm14OEBHJAfed24zhzneRsNq6tzHqgZJMDQ3SVZHYHRILh5RAJ9Uk+C2mw2tba2pt3dXRWLRauB\n0Py1trZm9QuGy+7t7Rm3CpABhkO5XDbImten6Q5SJlA1REmuX1KbfgGfCUNj88CAYOAVpFNJdm28\nVj6ftyFdg4ODmp6eNiUh8iRgZwib9XpdOzs7Oj4+NiQTxJDNi9ooXgMEEOBGutSvhmrEocXnXlpa\nshCSwictHzAJQDCp93TWcp4HBedBq6s9T39/vwqFgn2JJNMkqKi9oLLix6tzY3yIBcLDZO3l5WVj\nIkCOBPVBz7q3t9cKksvLy3YNjUbDcilQND8NzkPRvDZQN/kGRU2KhngNDyrwnNXVVWMGII4+OTnZ\n1q3ppW97e3tVLpfb2AcIPFKLAmWjDZqCKCLtdObCfCbnIYTDGDmEeG+Yz4gnwnNj4aVSqZQJPZLz\nSO35jaQHGtHzXF1tPN69s4nPz5MhTnyZ0P3RGqC/hyRVkhUtCRGkJIanYg5VhJgfSJXEeW5uzvTQ\nMpmMIUZI9EpJyEYY5xvZyB1Q/7m4SKR80dpmgC1hG6d2tVrV2NiY1tbW2jY9HDeQMt8izgmOYg2q\nM4AOFELhofkaC1AzU6VBJr0mN7w2r69Aki/JvBAABuEoI+PJb/BS5KTckxCCeS8foj3rPp2HXV1t\nPPDYuLF84dxMahyECKBgvn+ExBuaja++A8dSy6D67/OnhYWkuwIOGDKytCl7kXaoQORlhD8M2eVk\nBcXC0BcWFqxo6FFDjGF9fd3GrEuyv/EATCw4PDy0zUZvE7UvlG8AFGAHQMEBZAFQwFuS85DUs4kJ\n6zB2rgtPRBt8qVSyMIyQjZyU5/N58aCS2oyn28I1VlczDAqFQnz11VeVzWZVKpWMG8VAWkIEknNC\ntYODA83MzFiVns2DCo0k6xolXyFXGRgYsPHpXvEFftnk5KRRRUDa/E2niAoPC7VL6TJc4rqhwYyP\nj5vBeeKkdFnbgB1ADiLJ5Jn4TAwyRqZrc3PTDgEMGY9FUdkXoJk05ycacGgB7UtqY2CAkJG/oTHX\naDRMPIUckd6sGKOFqZ5UirfqrOWwniEs/fEnhpJzbGxsmCg7SBgnFjcQvhv5ApuUk5OGLZJ6aigg\nUMC33FiEBP10gnq9bqc2/DdgWFR7PMzKhkKth5wLHTgYCowAASQYHR01VR6gbx/OIAoI540QCkpS\naKnskC/RDsBnp4EOpgG5jnQpMs+mpjYG0AFwg2FJlzw9AI+ZmRltbm6a4o2/n/5z0MpAfet+hE/y\ntm5bXW08FPv8BGlqIWw68iJklAgZJFn1Wrps7AJiBSkieS2Xy7bJPYUf3hc8M077dDptRUCmY3O6\nQqFPpVIGJqRSKdvc0OsxXqg8MJD57BgtuQqhEIcHegoYLcKCtFKAukHDwUBR7eSwIOeAIzc0NGRT\nC6hR0XwIuIGBepCATb6ysmJ1Mg4Mr8MmyQq3ksyQ7kX6xPN14+pqqJpqP18uZE7aAKSkQxJ4lvyC\nf8M+IN4HdcvlcqbDTBjo6Sc9PT02jJYQhNoOIQo0EsIdBMtR1AEizmaz9joTExMaGxsz2g4dk6Be\nzDrFW+HFJBkq6KlBIH20NrOJm82mdWZynRgiv7OwsKBCoaCxsTFjXXuWAGGsH4aMtgKFZ+lyYLF0\nOcuVniP/HWJYhKQYh//3vQyHz9+Nq6s9D3R5ipwXFxcmVAHHC5SLJjA6REG2OFmBU+nfpwbEuA4U\nW2KMBk2TxEuyDQBVhSo5vDFeH2PHIAjJeA7GCg+OAi8eBZSMgV5A5oAY0Iag9/gpDoSx9PfgUQgh\nyYk4fGgZkGTKQ4ANMKjxiAASjBwhF+R6AWuYkIdBwXSgsO37cTw95158tW42HKnLjYck2o8KJISj\n9ZjEHpgXI5idndXm5qaFeGwskCmf8BJzn52dmZYBHsfH/pAcSciZVLe+vm4gAsgR9RJ036REMH5u\nbs6YCFJC1+FUxqPl8/m2MJJWc8IxciwOATwgr0FDGTWhGKMNuULSCk/ONVNw5n04FIC7CXmp+YDa\n1et1o+tQK6J/ibzTt0/7nIrvnv/zIWS3G47U5cZDKLa1taVcLmdC6bAAvFghU6FJ/BlEVavVVKlU\ntL+/b6PiqVNQwQc5o10ALhmhE5Axz6W4x+v5NmbYzVTqqcOEkGjLwanDozLSMJVKtY3doMbkOWwY\nPTA3Xa14Vh4DXUMCqlaraWtry/6fvh9m3PC5+b6A32nUow7kjYCwDVgbWhHC/DwPWB1wgNCXxzyC\nRrjoWRjdvLraeECakHmlH1665KaB3jSbTavdMPhqbW1Ni4uLphDKpoTVXCgUbOOib0ABkRANkQw6\nImdnZw2coNjHaQ+KBNDA73q0DAWeu3fvGiRMrQQaEiEUuQ0eAk9Gjw9aDOVy2bpq2ZjUU9iIjGME\ndofCBEkW7+E9p9ey9kxnrzlHeIhWOIZD6Ic38d2ghLUYk0fWvCJot6+uNh5JNkownU5rf39fmUym\nTTOMKjaJM0wCTvilpSXzBoQo5Csk7Ggl0L7ghSg49TEsPEaM0cZ7wJ8D6fINc34GJ+RLBBSHhoZ0\n9+5d44MRJgJwkAdRyG00GhofH1epVNLBwYE9j7YBqEMgdF5T4OjoyEJEUMBcLmejUjA8cp4YozHB\nyefwuL4Fgp4qvnNJ5j3wLFxPJ+2GnzHKbkXV7re6Gm1rNpva2dkxiJZNTLhBOMFUhEwmo2q1av33\n8LCk5MYUCgVr8CJpJpHNZDLGVatUKjbOESNi8yM0yGaCAeE5cr6hjBBISmRlKVYuLy/r7t27lrdh\nBD/xEz/xIyLwFxfJkK/j42MbESLJ8i8MhprUxcWFeRzko+i7Qeq3r69PpVLJFHUgbUI38i3XaHcf\nHBwYaFOr1Szf6+/vN6kpvDh1G0k/YjieCAvY8XHIcTpXVxsPpycT3oA9qbsgIk5tBNYzyS41CWo6\nUEUIkTxf7vz83IqPhFxekdMX9oBruSZgajZsT08yE9QzD05OTjQ+Pm4yt5OTkzo7O7NiLXy45eVl\ne83d3V07tX1DHjQi4HBqRsy6QUGIUAxWOB7Fsx5A0+iYJSdCvDHGqJWVlbZpEIxg2dzcVKFQUKlU\nMoSPojT3rxOKltTWOsE0uI9LqOZXV4dt9NiQeNNW7ce1I66BrBOIDwVH8iTYAdR6vGoosq4MomVO\nKcACVXVCO+lyKjPhJCMefY2E4mi5XLZeIXIJKWEa4FWYKLCzs2NQNowDGNN0fhJOAmyQ7xFWoVdA\nrsEYSqBu1INAKCGTwqrgeyI0416Mj49rcnJSq6ur1utTKpWMrOpBAY+uYTwAGxgOovcf19XVxhNj\nNMORZGRHf2Og43DCAtnSfUriDNpF/YEbSHhHBX1oaMgKjtRGyKd2d3ct7Ovv77eNCDwOfCtJKysr\nBvXm83nbULQfAyeDRgHvzs3NaWdnxyBpgAP00ug9YkPyeYDamWKA50XXDTYEa2hoqG2agydp4mWB\n2H07ebFYNMDB15MwDgzI13Cky3ExnsFNofvjuro6bJMuk0jqHX4iwdTUlHVBTk5OGizMRGdORPr+\npcuCIUOh6JkhdIL4SeWckIJp19BigKaRp/XSuj09Pcrn8yYDTK5BzYnwiY0G925kZMTEFaGlsCGZ\n2Xl0dGSETygwGMrw8LCNP2k0GsayZgNDW6JPh0IwdS2Y1vQDEbrevXtX29vbhhhS3+EaeH8QtHvl\nLxiTH0T8cV9d73kmJyc1Ojqq7e1tmxUDv41aiJRsjO3tbRtZmE6nbfIABVGKgLCwff0GI4MlzWtI\nsnAIMiY33280QATyFFqqPRsaryHJptaxyQuFgjWvVSoVHRwcGIXIe8Le3l4L5TBuGNIexQKwYINL\nl+KIvLeH0dn4MMkxFFoU4Mrx3fEcipqwB8jRAAeIFqTLqRMfx/zmXqurjYfK+/7+vqE7yMiyyTys\nyumPoiYAAq3QwLEogfrCIq9LXaVarRqKF2M0Wgq5FgbjNwgGRgsEXLf+/n4LkSg60ghGbYf35gRn\nqh0kUgyNzU4BmTyM8JVuT4yKDU3IR64EVQjmAAeMJGNI4xn9JDk/UU+6FBfBg4KmQcPx7Qwf5/zm\nXqurjcdvxKmpKYOV8Qhe1dKfiCTMzOmkpZgq/fz8vCXZJOyEfPv7+xoZGTFggpwEg8Sb7O3taWpq\nSqurq22NdKj2IK/U399vKjrUQ8iNqOKjZMNnRh6K7lIMilYGSXaC1+t1MyAE2aXLdg7AC/ITipDA\n0hgtCBzhlEfEKHZKamsd4A8GyO90thRIMuDhk7S6uhkun8/HX/mVX7G6B1Ol8RRMGuOER5kFPQFi\nbBLzer2uGzduqFKpWJ4yODiotbU1E0dcWlqysIONDoRNPQitAPIf3ssrfwKhg3r5TQYFh8QbFU5y\nGsIwpJ8odPqKPMAFp71/bTyPZ43DrvaMDMI6eHx8RrwGHDeK0RgIED3fudQ+6oNrhNfWzXvsPuvj\n3wwnyU75sbGxNgYyN5uNClmzVqsZxZ7+eJLq3t5eE/2gnoEcUrPZ1NLSkhkEm4pTl0QYfWw29sXF\nhfHcgMChpzBoa2JiQmdnZ21yUegkUFQEmQPyJbejSApIwudhcJWn5Hj0jQ1LTkLfEqwDvCDeyT/f\nQ84wqqEj8TwMVtKPeCLvpT7J62Emwy2EEP6/EMIPQwjvhhD+m9bjvxFC2AghvNn68yX3O/84hHA7\nhPB+COEX3eO/1HrsdgjhG/d6v87FZqCaTj2HOgjtCnC3yA9CCDbR7OjoyKbLAU3Tkcrziff39vZU\nLpetaEkeIiWhG704hFR4NBJ0DArQACSNE//i4qIt/EJpp9lsWs2EgihoIfkJ/LtisajT01MLx3ht\nSfY8wBBCUfIYgAZyKOS1eD0e98gatSMPJOC9/B9Jdph9HBkDH3U9jOepS/pHMcYfhBBGJH0/JGPg\nJelfxhj/hX9yCOHTkr4s6RVJs5L+NITwqdZ//2tJf0vJJOzvhRBejzH+8H5vDMNZktU12EjE92ww\nLwnlId75+XmDuDESwIJKpaJMJqOxsbE2rhy/Cw2F9m0KoEhXMcI9xqhisWidoVBlpEtRQ3h1GC9U\nIh4HNfS1E4yDrk9JdmgAQ/OZCOWg6wA/A2qQrPP58Cw8BuTMd0wo58UUOxE9/vav9UnMbe63PtR4\nYjJPtNj6+TCE8Ne6xwh4t16V9AcxxjNJyyGE25I+3/q/2zHGJUkKIfxB67kPNB4o9YwL4bScnJy0\njQwRkRjbV+p5jbm5OUuyCUu8zpnv3GSzeRgYyBYjQk2HMNF3RxIGIegBsZIZPqurq8Yn43Oiz0Dj\nGIfAwMCAZmdnTSPbI1YcJJ0egMcJHX2hGO8BS4Pfx1B8ngKC1mkoGBHfhaS2z//jsj5SzhNCuCbp\ns5L+Usms0q+HEH5V0htKvNOuEsP6C/dr67o0trWOx//GPd7jq5K+Ksn6Z7wemkeniMe5yalUStls\nVrVaTfl83vIRnoPUFLkQvShMhmbzMdCKiWZnZ2emREo+xOlN2OXDJjwgI0swWFgAyNkCWqRSKasP\n4T08g8B7RD5ro9EwkXk6OjEOwlZ+j8/PawYnmSVdlgQIxbwH4vrvxYT+uLKhn9R6aOMJIWSUjJP/\nhzHGgxDCb0v6Z5Ji6+/flPRfP+4FxRi/KembkjQ5ORnr9WS0eQiJNjSbhbYEKVUWligAAAkdSURB\nVOnGpHWBblPQJQAGXz1no6Giw4YoFAqSLqvhoHyQISE5+rZrb0zAxgcHB9aUh2eSkryNxj1JbWIa\nFGXZ8Aikg7RJlyER1w6DAfqQFxD0tRiQOj4XG5/HPCLmG9S8J+n0Kt4Yf1zXQxlPCKFPieH8mxjj\nv5WkGOOW+//fkfQfWv/ckLTgfn2+9Zge8Pg9FzdakqFVngYC8kR/vZ+WUK1WzVPFmCjCsHFRwsS4\nstmskTSlpF2aPIX3A9kaGBiwFmwpmcIG69kLy1M09X0voHrUUjjt+Qx+9qbXse5Up0Gdx/PPfE+O\n/+7wQp2GQNjlW6DvZzT+9/k++K5+nNeHGk9Idu/vSvrrGONvucdnWvmQJP1tSe+0fn5d0v8ZQvgt\nJYDBTUnflRQk3QwhvKjEaL4s6b/6kPe2TURbAP08FPXYMF6MXJJpWLMpmIPDZmEz0k1KjuGF3WEl\nwDA4OjpSrVZTqVQyLQA2NMk5+ZevhWDMHtr1hhBjbFOjkdo3sBfiwPiA6b3wvQ+v+B0YGP45/n28\n8fjnYDCeQEvIeLWS9TCe529K+ruS3g4hvNl67J9I+koI4aeVhG13Jf0DSYoxvhtC+EMlQEBd0tdi\njA1JCiF8XdKfSOqR9K0Y47sPemPQLdAoDwPDeObm1ut1y5EAFaCx4BmgwLPJQ0t7DHTs6OjIuGhA\ntGxwX7NgLg+GIckKlFwT4SVFRUnm/QAYOqc++HAQ9gQeyb+e783xNSgfSvmQyucoGFynsXV6G0JZ\nOk+h2Vyty9XVDIPx8fH4cz/3c1bZpwjJ5gJ5GhoasqS5VquZECC1HjpLkdylv6ZUKhmw4NsXhoeH\n7fcxtJOTEwMojo+PLXyhkk7NCQ9BLoMUrnR52vsiLQcBOQo6AyT/gBEYBM+DkEr+RgjYGV519tL4\n6/B5Tmd4Jl22gHTzHnlK6+PPMGDD0OHolVo8o9f37kOXxwDo76/X6yoWizY+g74SevhB4ajeQyoF\noiaso62A0I6EHaoNbG+ABpruYoxWe8E7YUCHh4dmuExW4CDAQ+J1pUse373yGQymM+zqfI73OtLl\nKHYPJFyFaA9eXW08yMUSiqXTaVPSoaPTa5SRd9RqNe3u7pqhgHKxEanxkD9wupPoS+2j4fE0XkiQ\nsI3rJOnntQghYUbzPJjMPJdNzGt1io0Q9nXmJngl0D/vCaV2b4IB+cfv5U249h8HdsCTWF1tPJKM\nmUzbM4qU1FIQygA0oPLOZqeCH1vUFLwEMLBnTuOleC6Qsg+hCOdAu8hhfN2EMApDYTOC3lFn4Tr9\nhua5nmntPQj/xlPyb8Irb0DeQO5VuwHJxOv8OLEDnsTqauNhI1FvaTabbYqVxPywDwhjSOJjvBxl\nQczvG8MQDpFkoZtvG8ALQeL0fS4k0pJMo8zXS2AKsLHxMtRR7hVS8ZgvXnbmI51G1vn7nY/x872e\nw2teeZpHW11tPGx4X+shAUc+tr+/38ZowPuiTQAvg2fi377oiFFSXSdngehJx6lXFUUHjSTdJ+O8\nFhsSQ/Y1I7yED7v4fT4rRkf+0ul5OsOu+xmQ//48jP3jQt58mqurjYcNRDsC8HNvb6+2t7clyfhp\nJOTSpScg6aWgiswR3ifG2KYQQzj38ssv6+TkRMvLy6pWqxaS0bbMxmNDM9wWY/OMg86irk/WfdjV\naRwk7VJ7Mt8JMfvfkdqFTfz/+d//caXTPOnV1cbDRvDaAyTx5DYgYhgESBdhnIda+benzdAZyoj3\nUqlk+m7kFT50IpzztRSMCS+Fgd0riZcujcUbA8tTZ1j+fVj3C8s6UTPvGf3vX63HX11tPNQzGKJE\naIUCJqM4UP2HecymAfIFXIBvBlMYxA3pKTyIF8TASKjYe1ZzZ/ckvyvJci8fNnkIGcPyn9U/19do\n7vW9dIZpPvn3YdlVTvP0VlcbT7OZyO2Sm+B1gJrxFL5Kz6Znw0PerFQqOjs7M2NisxMKkg9hWJ3F\nSa6nM4foTPw7n9/ZJ+MhaP+aDwq7WPcK1/zzfD3ox7Cw+cxXVzMMQgiHkt5/3tfxISsrqfy8L+JD\nVrdfY7dd32KMMfdhT+pqzyPp/YehSTzPFUJ44+oaH291+/Xdb3W9YujVulrduq6M52pdrUdc3W48\n33zeF/AQ6+oaH391+/Xdc3U1YHC1rlY3r273PFfranXtujKeq3W1HnF1rfGER1AXfUrXcTeE8HZI\nVFHfaD02GUL4TgjhVuvvidbjIYTwv7au+a0Qws88pWv6VghhO4TwjnvsI19TCOG11vNvhRBeewbX\n+BvhGajMPrPliYbd8keJxsEdSdcl9Uv6z5I+/Zyu5a6kbMdj/4ukb7R+/oak/7n185ck/T9KxE5+\nVtJfPqVr+oKkn5H0zqNek6RJSUutvydaP0885Wv8DUn/7T2e++nWPU5LerF173u6aR/c60+3ep7P\nq6UuGmM8l4S6aLesVyX9Xuvn35P0X7rHfz8m6y8kjYcQZp70m8cY/5Ok6mNe0y9K+k6MsRoTscrv\nSPqlp3yN91umMhtjXJaEymxX74NuNZ45/ai66IMkfp/mipL+3xDC90OiZipJhXgpu1WSVGj9/Dyv\n+6Ne0/O61q+3wsdvEVp24TU+1OpW4+mm9V/EGH9G0i9L+loI4Qv+P2MSd3QV3t+N19Ravy3phqSf\nVqJ//pvP93Ieb3Wr8TxIdfSZrhjjRuvvbUn/TkkosUU41vp7u/X053ndH/Wanvm1xhi3YoyNGGNT\n0u/ocgBA11zjR1ndajzfU0tdNITQr0Rd9PVnfREhhOGQjFVRCGFY0heVKKO+Lgl06jVJ/7718+uS\nfrWFcP2spH0XSj3t9VGv6U8kfTGEMNEKn77YeuyprY78r1Nl9sshhHRIFGVRme2KfXDf9bwRiweg\nNV+S9IEStOWfPqdruK4E4fnPkt7lOiRNSfozSbck/amkydbjQckMojuS3pb0uad0Xd9WEvZcKMkD\n/v6jXJMSYf7brT9/7xlc4//Ruoa3lBjBjHv+P21d4/uSfrmb9sH9/lzRc67W1XrE1a1h29W6Wl2/\nroznal2tR1xXxnO1rtYjrivjuVpX6xHXlfFcrav1iOvKeK7W1XrEdWU8V+tqPeL6/wFAyEOowo7J\n/gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fddab023c18>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(tensor_batch[0].cpu().numpy()[0], cmap=\"gray\");\n",
    "plt.title(\"Image\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We run the input tensor through our model, which generates raw prediction logits."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_hat = model(tensor_batch)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We convert the logits to prediction probabilities."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'malignant': 0.008061106316745281, 'benign': 0.0405946783721447}\n"
     ]
    }
   ],
   "source": [
    "predictions = np.exp(y_hat.cpu().detach().numpy())[:, :2, 1]\n",
    "predictions_dict = {\n",
    "    \"benign\": float(predictions[0][0]),\n",
    "    \"malignant\": float(predictions[0][1]),\n",
    "}\n",
    "print(predictions_dict)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(Results differ from the `run_single.sh` script because of augmentation.)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# B. Image-and-Heatmaps Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We do the same as the above, except we create/load a model that also operates on heatmaps."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "image_heatmaps_parameters = shared_parameters.copy()\n",
    "image_heatmaps_parameters[\"view\"] = \"L-CC\"\n",
    "image_heatmaps_parameters[\"use_heatmaps\"] = True\n",
    "image_heatmaps_parameters[\"model_path\"] = \"models/ImageHeatmaps__ModeImage_weights.p\"\n",
    "model, device = load_model(image_heatmaps_parameters)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We load the image and heatmap data. As before, the heatmaps should be created beforehand."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_input = load_inputs(\n",
    "    image_path=\"sample_single_output/cropped.png\",\n",
    "    metadata_path=\"sample_single_output/cropped_metadata.pkl\",\n",
    "    use_heatmaps=True,\n",
    "    benign_heatmap_path=\"sample_single_output/benign_heatmap.hdf5\",\n",
    "    malignant_heatmap_path=\"sample_single_output/malignant_heatmap.hdf5\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Input processing and augmentation as identical to before."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "batch = [\n",
    "    process_augment_inputs(\n",
    "        model_input=model_input,\n",
    "        random_number_generator=random_number_generator,\n",
    "        parameters=image_heatmaps_parameters,\n",
    "    ),\n",
    "]\n",
    "tensor_batch = batch_to_tensor(batch, device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7fdce5dac518>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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aRU1LQ7Sp6b38RnycCyOC007Xe4lSWzx+DerHgbcYYy6vqhl9PcfNnxW+73Pt2jU8z8MY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jg7O0MqlRLwTOEUY1MJIEulkoBkcnJ1XRcwy3OmTRWBcSKRwGq1QjabxXw+F84rATv/7rou5vO5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\nY4uSlIOalNwXl4Mal8h3UeJY3Dd90nHd3+Qywl65VbjTNS5NmvskXR7Ri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HR0JMvsjHbS\ndokWUVzqZjSRhT2seOe56B86HA7lcUZJ6VO6s7ODbreLQqEAay36/b5EQ3u9nrQZ5e3ZbAbP80S4\nVatVVKtVnJycSI4mAInmTiYTPHjwQLozZbNZyflst9siChlxpRXVZDIRMV0sFiUXlhFW2l9xKR6A\nWEQNBgMRla7IbTQaknbAYieK0GhHKApU9/0EIFFjRVEURVGUbXimzZQx5jVjzP8xxvylMebHxph/\nstn+DWPMu8aYH2x+vug85zeNMY+MMW8aYz7vbP/CZtsjY8zXn3VuiiQW2XAZnQKLgpQFS2EYotPp\noN/vS+Su2+2KYT6LlorFIg4ODrCzs4ODgwN8+MMfxnw+R6m0rrrY39/H/v4+crncmTxTmtmzwn06\nnaLT6YgF02w2w3g8xmw2w2g0kh/u73Zoevr06ZlznJ6eSpSX1f+LxQL9fh/tdhvT6VQKvDzPkwhs\noVCQNIFqtSp5smEYIpPJyHHCMMTJyYlU9VNwzudzdDodLJdLWdJ3I5/Hx8fS2pSfAaOp8/lcfrid\nwpWRVzXgf7lc53xVFOXy6JxVlHi2iaAuAPwza+3/N8ZUAHzPGPOdzWP/2lr72+7OxphPAvgKgL8B\n4B6APzHGfHzz8O8B+DsA3gHw58aYb1tr/zLpxFwaDoJArJhms5m0GqWdVBAEsjTtLn+7PqrdbheT\nyUSq9xn1ZNeou3fvolAo4PHjxyiVSuh2u5LvSdHGSn0Kw06ng3x+3dCb4ozepozeDgYD+L4v0dNS\nqYTxeIydnR0RvIVCAfv7+7Ks7xZGsQEAC6GYdsDjMEeVEVtaRAHrZfdCoXAmT5VClMf1PE9yVTOZ\nzJnWpvSQpa2Va8Dvmu0zeuraTLndpJSXyrXN11iS8k2Tmntv0xSbSWZxCWV+zLZVzHE9xCfcZZHc\nTDy6f1zbnKQOTHEkdZ2Kg+9DXHJedJvBxR21tu1GlTQO5aq5tjkbbdQWdyle1D8+mu+5wvlLj/vE\ndaiKEyCXHUPcn4ckY4qk/Njo2JLS2d3nXDSGi8b6InJQb+u0fKZAtdY+BfB0czs0xvwVgPsXPOXL\nAL5lrZ0CeMsY8wjAL24ee2St/RkAGGO+tdk3cfK40TrmThaLRezs7IjnKADJt/R9H4VCQUzvKdZW\nq5Us/TMCSXF2enoq7T8nkwmazSY8z0Oz2USr1RIBSXspVsS3Wi0RdNlsFoVCAcPhUJb3c7mcjIFV\n+bu7u+j1emg2mxIdpojt9/uyjUKYwtAVjrTaotilgGZElAb7AETQ8xjc14W5tW7nJ9pvsVkA82Cj\nxVHuT7RiX7kernO+AlgLv8rmdh7rb5s4e6Yo/IaYRLYvcb64aBn5TU4R/+0xxflvoAniqyniBOos\n4bhxVk7sCxkd2zLmfOwtGWczFX3NHFPct/+231iXEajKS+Pa56zDtkVSbntUlzgReFFBVdz/mJmY\nfS8SqEltSrcRqBeJwrh9k/73ixtD3Ji1U/DluFQnKWPMhwH8TQB/utn0NWPMD40x3zTG1Dfb7gN4\n4jztnc22pO3Rc/y6Mea7xpjv0n6JxTur1Qrj8RiDwQBhGEqeKHMjWUm+Wq2wu7sropY5nBSaXDJn\nEdZoNJKq/06ng+PjY7RarTNFRtlsFqVSCdVqVSKkXC6fTqcYDAaYzWbidxqGoQhrRhNXqxWCIECr\n1UIYhnjy5AmOj4+xWCywWCzkPL1eT7pKzWYzdDodhGEoZv4U7YPBAMPhEMvlEvl8HuVyWc7JiCuP\nTfstjsMVmwBk+d4Yg16vd6YtrFtwxd/uMWhr5fqiKtfPy5ivm/PInE30LL3pJP2lNJGfF8mLPr5y\n7bzs71hNwFLSzNYC1RgTAPgvAP6ptXYA4PcB/AKAT2H939/vXMWArLV/YK39jLX2M/l8Ho1GQwqE\n2C4UgPhw0rt0NBrJMv7p6SkeP34M3/exu7uLUqkk5vZup6NOpyNm+Kxsd43qGQXd3d0FsK565zI6\nUwkoCJlzaTa2VBSpy+VS7JfG4zGOj48RhiGOjo5QKBTED5XFX0+fPpXjuXmds9kM3W5Xcm5pxk9r\nrJOTE7TbbRwfH8s+g8FAhC6Ps1gsxEmAAp7ilJX+btW+G511RS2Px/eS75+SDl7WfAXOzlnkr+qo\nivJqcR3fsXEucIqSFraq4jfG5LCeOP/BWvtfAcBae+Q8/ocA/sfm7rsAXnOe/mCzDRdsj4UV8kEQ\nSBU9q+dLpRImk4nkZLrCk8JyNBqJfygFJ+2U5vO5GP9z6XwwGEjeJm2kKCzZGpX+qcViEZ1OBwDE\nsop+qtPpFJVKBZVKRURko9GQDkqubymX83luFmENBgOJCudyuTM+pRSMFOvA+8KajgBcnufzmMZA\nsUuhyqgoo59uZT4/g6gY5bj4XCVdXNd8VRTl+dA5qyjneaZANWtl8m8B/JW19ned7Xc3uTMA8CsA\nfrS5/W0A/9EY87tYJ3B/DMCfYb1A9TFjzEewnjRfAfD3n3FuEZcApDqc21zjeto3cTmbXaBop5TP\n5yU3lJFBikl2pdrZ2cFwOJRoYq1Wk2X3MAwBrD1KO50OKpWKLPsTz/NQqVSkuGm5XKJcLkvqAQ3w\nKRwpGl3PUJ6PrgAUz8zvZOSWQpu4YpPFTW5xFMU8hS2jqcwxdZ/LHxfep1B1RaySHq5zvq5PBEgU\ntYT4gqhizDbej67pLGO28bKLaycaF8hf4Xzeq0nY14vZzj6L0USzWcy+SQVccc7fSXmlca7kC8Qn\nwMUVSQEXty+N21e5Nq5zzkYv67hLyUNy74q4y3HbPhfLhPPF5aDGPR9InhJx+180trjsmW2N9rfd\ndtH2OHS6bhdB/VsA/gGAN4wxP9hs+xcA/p4x5lNYv1+PAfxjALDW/tgY85+xTsxeAPgNa+0SAIwx\nXwPwx1hf89+01v74ohNbayXXtFwuS0tQLvcHQYBOp4NSqSTm91yeByA5q9VqVQQmTfXn8zlyuRwa\njYYUV1HwMdJJ8VgoFJDL5RAEAdrtNnK5HEajkQhMmvm7/qLdblcEYLValfssWCoUCuj1egAgUUhr\nLQqFgjgLBEGAwWCA6XQqrUQnk4lEP1mAxQKnaH4ohTbFJL1YaQvlClO38Ml9/7kPsBbgmmeaeq5t\nviqK8lzonFWUGEyaxUaj0bBf+tKXkMlkxFCerTYp0KrVKqbTKUajkXR/Gg6HUsk+Ho8lt5LbPM/D\nnTt30O/3ZVmcuaPAOhqZz+fF69QVcuw0Za2V8QDrCC2dAXg8pigwauv6hGazWbF7ms/n8H3/nKE9\nc0XZCcoVnADOVMwzgsrjux6k0SX6qD0Uj+HuFxWrbp7uK8D3rLWfue5B3ERM1Vh8dnMnLlIKrCOs\nSX4vo8j2Oc63/WRTsujlOEG8Q0Cck0BcS1Nuj2snGhfqmSM+UoqY7TZmG8e/jXUUI6hJJctRLmp1\nGiW9XwGXQefsc+AbYx9sbidVysdFKblf0mKDy0URzTiSopmXqeKPO99lFhUuemyb4ya9tuc53/Pu\nl3K2mq+p7iRFccZIJqvgufzNSGQul4O1FoPBQPJBGXF08zRPT0+xv7+P0WiEw8NDTCYT8UllFJJC\nbDgcSnFVuVxGu92WCKbv+5IOQKN8tjcdj8fSrSqfz6NeryOfz8trYFW9MUYErusfSv9WRou5zO8u\nxbPDFQUpc1M9z5P9aftkrT0nXqNV+O7yvSuAzabLlUZNFUVRFEV5maRaoFJsWWuldWcYhpKrmcvl\n8N5770mLUlbVV6tVWQqn+CsWi/A8TwqbJpMJyuWy2DQBEOso9rdnBTtzSlnBD0CitJlMBq1WC77v\nS4rBcDg8czxGJWm0z4Kr8XgsY2ThFgU1I6vMI2XUmFFMph5MJhM5h+txyv15m6+RUVjiphfwNwuz\naM6vKIqiKIryMkm1QGVBFCOI9DEdDodnCqcAiCF/oVCQfEsWJnmeJz6nlUoFp6enUuXutvbksv1g\nMJD7QRCg3+9L1JR+rEw7CIJA7K6A9y2XfN9HqVSSKv3VagXf9zEajcSPlK+BEVyKX5rnM43BjXi6\ny/ZMCXCX+d3XQzGb5FMajYqaTXtTpjYoiqIoiqJcB6kXqGwtOp/PzwhTRhV935f8TgBSvMTuTuzw\nBAC5XA7tdluOcXp6Ct/3ZZmdpvxcWi8Wi3JOij13Wb5UKklEkrmnjLbS/srzPLGQooWVK4gpGvka\ncrmcRG0psN3cUC7pu8VLwPvepO4SPfd3l/WB88KU7w39WhXluclgXb2Pze84p+U8knM349qHxm0D\nzidjTWOO644ren+RsD16PibWRc8Xl4Oa1Oo0zgUgKa/0KpLaNCNHuQYuunS3qaoHkjswJU2BbTtX\nXaaCPun52+zHMSXl9OrU3J5UC1RWwXe7XVniz+fXHjbM1XSN9nO5nCydM+IZhuEZo/npdCoV97Ri\nKhQKGI1GCIJAbKZYnQ+sUw1qtRrG47Ese/PHzS/l+UejkeSI8pyuhylFJvC+zyhFJIWwK7oBnMkL\nZZSTQpfPj1uuZ/5pUoU+0YipoiiKoihpIdUClUvNy+USk8kEnueh1+uhUqmcqz4vl8uSDgCsq/e5\nHM/czmw2i2KxKMd3I4ZcjmcFPgViEARScQ+sxarv+7IP81CZT0px63qOun3sAUgBE5fsXUsoVu67\ngnKb30n+pW6lv/sYz+GOS1E+MCsAg83tpLanOSRXtMdV8U8i22j/Gy0hnsUcl0RLgzOID8nElSzz\nfjT0EVfdf1EJcVKk9IM27NaQjPIB4GWZNCWA5IWCOLveFxVBvYwvadz5PujUuexihU7VD06qBaox\nBu12G/V6XaKpuVxOltkHgwF2dnYwm80kaslle0YsGSWkAT7N+sfj8RmxyrzS6XQK3/dlX9pTMRWA\nOapsReoWLdECi0LRLVxyl/EZuXXHB+BMh6ZoO9GoGI3bFmcRFX1+NpuV91JRFEVRFCWNpF6gslPT\nZDKRaOXh4aH4hrJa340EjkYjhGGIXC6HWq0mx6LoY35qGIbIZDLwfR+7u7uyzL9YLLCzs4N+v4/x\neCyV+VwG53K6G510l9cZXXWFIpf8uV+cEKV9lCtc3bzRaBSW291IsjsGN6rKlAi30l9RFEVRFCWN\npFqgUqgNh0Ocnp5Ka1MKOkZSKVApwlh9v1wuxS+VkUMa6xcKBdRqNRGZP/3pT8XiiRX5LM5iDivF\nI5f8KTZ5bFcoRm2b+FqiRU5x4tJ97dGl+21M9V17KY5ZI6aKoiiKotwUUt1JyhgTAnjzusfxDJoA\nTq57EM8g7WNM2/g+ZK3du+5B3ERuwJxN27UWh47x8uicfQ5uwHwF0netRUn7+ID0jXGr+ZrqCCqA\nN9Pevs4Y810d4wcj7eNTLkWq5+xNuNZ0jMpLJNXzFUj/tZb28QE3Y4xxxLkUKoqiKIqiKMq1oQJV\nURRFURRFSRVpF6h/cN0D2AId4wcn7eNTtiftn2XaxwfoGJWXx034HNM+xrSPD7gZYzxHqoukFEVR\nFEVRlFePtEdQFUVRFEVRlFcMFaiKoiiKoihKqkitQDXGfMEY86Yx5pEx5uvXOI7Hxpg3jDE/MMZ8\nd7Nt1xjzHWPMw83v+ma7Mcb8m82Yf2iM+fQLGtM3jTHHxpgfOdsuPSZjzFc3+z80xnz1JYzxG8aY\ndzfv5Q+MMV90HvvNzRjfNMZ83tmeiutAuZg0fU46Z69sfDpfbzFp+ax0vl7Z+G7ffHU7FaXlB4AH\n4KcAXgeQB/AXAD55TWN5DKAZ2favAHx9c/vrAP7l5vYXAfxPAAbAZwH86Qsa0y8B+DSAHz3vmADs\nAvjZ5nd9c7v+gsf4DQD/PGbfT24+Yx/ARzafvZem60B/LvysU/U56Zy9svHpfL2lP2n6rHS+Xtn4\nbt18TWsE9RcBPLLW/sxaOwPwLQBfvuYxuXwZwB9tbv8RgL/rbP93ds3/A1Azxty96pNba/8vgM4H\nHNPnAXzHWtux1nYBfAfAF17wGJP4MoBvWWun1tq3ADzC+hpI+3WgrLkJn5PO2cuPLwmdrzeftH9W\nOl8vP74kbux8TatAvQ/giXP/nc2268AC+F/GmO8ZY359s+2Otfbp5vYhgDub29c57suO6brG+rXN\nMsg3uUSSwjEqlyNtn5PO2atD5+vtJE2flc7Xq+NWzde0CtQ08bettZ8G8MsAfsMY80vug3YdQ0+V\nV1cax7Th9wH8AoBPAXgK4HeudzjKLUXn7NWg81V5Geh8vRpu3XxNq0B9F8Brzv0Hm20vHWvtu5vf\nxwD+G9Zh8SMuK2x+H292v85xX3ZML32s1toja+3SWrsC8IdYv5epGqPyXKTqc9I5ezXofL3VpOaz\n0vl6NdzG+ZpWgfrnAD5mjPmIMSYP4CsAvv2yB2GMKRtjKrwN4HMAfrQZCyvyvgrgv29ufxvAP9xU\n9X0WQN9ZEnjRXHZMfwzgc8aY+mYp4HObbS+MSK7Qr2D9XnKMXzHG+MaYjwD4GIA/Q0quA+WZpOZz\n0jl7deh8vdWk4rPS+Xp13Mr5+rKqsS77g3Vl3E+wrjL7rWsaw+tYV7b9BYAfcxwAGgD+N4CHAP4E\nwO5muwHwe5sxvwHgMy9oXP8J6xD+HOu8kX/0PGMC8GtYJ0w/AvCrL2GM/34zhh9iPRHuOvv/1maM\nbwL45TRdB/qz1eedis9J5+yVjk/n6y3+ScNnpfP1Ssd36+artjpVFEVRFEVRUkVal/gVRVEURVGU\nVxQVqIqiKIqiKEqqUIGqKIqiKIqipAoVqIqiKIqiKEqqUIGqKIqiKIqipAoVqIqiKIqiKEqqUIGq\nKIqiKIqipIq/BuAyr1hdogNsAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdce5e43c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n",
    "x = tensor_batch[0].cpu().numpy()\n",
    "\n",
    "axes[0].imshow(x[0], cmap=\"gray\")\n",
    "axes[0].set_title(\"Image\")\n",
    "\n",
    "axes[1].imshow(x[1], cmap=LinearSegmentedColormap.from_list(\"benign\", [(0, 0, 0), (0, 1, 0)]))\n",
    "axes[1].set_title(\"Benign Heatmap\")\n",
    "\n",
    "axes[2].imshow(x[2], cmap=LinearSegmentedColormap.from_list(\"malignant\", [(0, 0, 0), (1, 0, 0)]))\n",
    "axes[2].set_title(\"Malignant Heatmap\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We compute the predictions the same as before"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'malignant': 0.005262000951915979, 'benign': 0.04716522619128227}\n"
     ]
    }
   ],
   "source": [
    "y_hat = model(tensor_batch)\n",
    "\n",
    "predictions = np.exp(y_hat.cpu().detach().numpy())[:, :2, 1]\n",
    "predictions_dict = {\n",
    "    \"benign\": float(predictions[0][0]),\n",
    "    \"malignant\": float(predictions[0][1]),\n",
    "}\n",
    "print(predictions_dict)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
